t designs with small t, id ge 9000

# 9000: 5-(22,12,14916)

clan: 7-(24,12,4746), 2 times residual
residual design of supplementary of 6-(23,12,2884) (# 8995)
residual design of 6-(23,12,9492) (# 8998)

# 9001: 7-(24,12,4746)

clan: 7-(24,12,4746)
Alltop construction for design 6-(23,11,4746) (# 8997)

# 9002: 6-(23,11,1470)

clan: 7-(24,12,1470), 1 times derived
$ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
derived from 7-(24,12,1470) (# 9006)
derived from supplementary of 7-(24,12,4718) (# 9019)

# 9003: 5-(23,11,4410)

clan: 7-(24,12,1470), 1 times reduced t, 1 times derived
design 6-(23,11,1470) (# 9002) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,1470) (# 9004) : der= 5-(22,10,1470) and res= 5-(22,11,2940) - the given design is the derived.
derived from 6-(24,12,4410) (# 9005)
derived from supplementary of 6-(24,12,14154) (# 9014)
supplementary design of 6-(23,11,4718) (# 9015) with respect to smaller t

# 9004: 5-(22,10,1470)

clan: 7-(24,12,1470), 2 times derived
derived from 6-(23,11,1470) (# 9002)
derived from supplementary of 6-(23,11,4718) (# 9015)

# 9005: 6-(24,12,4410)

clan: 7-(24,12,1470), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1470) (# 9002)
design 7-(24,12,1470) (# 9006) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,2940) (# 9013) : der= 6-(23,11,1470) and res= 6-(23,12,2940) - the given design is the residual.
supplementary design of 7-(24,12,4718) (# 9019) with respect to smaller t

# 9006: 7-(24,12,1470)

clan: 7-(24,12,1470)
Alltop construction for design 6-(23,11,1470) (# 9002)

# 9007: 5-(23,11,14154)

clan: 7-(24,12,4718), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1470) (# 9002) with respect to smaller t
derived from supplementary of 6-(24,12,4410) (# 9005)
Tran van Trung construction (right) for 5-(22,10,4718) (# 9008) : der= 5-(22,10,4718) and res= 5-(22,11,9436) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,9436) (# 9009) : der= 5-(22,10,4718) and res= 5-(22,11,9436) - the given design is the residual.
derived from 6-(24,12,14154) (# 9014)
design 6-(23,11,4718) (# 9015) with respect to smaller t

# 9008: 5-(22,10,4718)

clan: 7-(24,12,4718), 2 times derived
derived from supplementary of 6-(23,11,1470) (# 9002)
derived from 6-(23,11,4718) (# 9015)

# 9009: 5-(22,11,9436)

clan: 7-(24,12,4718), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1470) (# 9002)
derived from supplementary of 6-(23,12,2940) (# 9013)
residual design of 6-(23,11,4718) (# 9015)
derived from 6-(23,12,9436) (# 9016)

# 9010: 5-(23,12,7560)

clan: 7-(24,12,1470), 1 times reduced t, 1 times residual
residual design of 6-(24,12,4410) (# 9005)
design 6-(23,12,2940) (# 9013) with respect to smaller t
residual design of supplementary of 6-(24,12,14154) (# 9014)
supplementary design of 6-(23,12,9436) (# 9016) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,4620) (# 9017) : der= 5-(22,11,2940) and res= 5-(22,12,4620) - the given design is the residual.

# 9011: 5-(24,12,38418)

clan: 7-(24,12,4718), 2 times reduced t
supplementary design of 6-(24,12,4410) (# 9005) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,14154) (# 9007)
Tran van Trung construction (right) for 5-(23,11,14154) (# 9007) : der= 5-(23,11,14154) and res= 5-(23,12,24264) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,24264) (# 9012) : der= 5-(23,11,14154) and res= 5-(23,12,24264) - the given design is the residual.
design 6-(24,12,14154) (# 9014) with respect to smaller t

# 9012: 5-(23,12,24264)

clan: 7-(24,12,4718), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,4410) (# 9005)
supplementary design of 6-(23,12,2940) (# 9013) with respect to smaller t
residual design of 6-(24,12,14154) (# 9014)
design 6-(23,12,9436) (# 9016) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,14828) (# 9018) : der= 5-(22,11,9436) and res= 5-(22,12,14828) - the given design is the residual.

# 9013: 6-(23,12,2940)

clan: 7-(24,12,1470), 1 times residual
residual design of 7-(24,12,1470) (# 9006)
residual design of supplementary of 7-(24,12,4718) (# 9019)

# 9014: 6-(24,12,14154)

clan: 7-(24,12,4718), 1 times reduced t
supplementary design of 7-(24,12,1470) (# 9006) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4718) (# 9015)
Tran van Trung construction (right) for 6-(23,11,4718) (# 9015) : der= 6-(23,11,4718) and res= 6-(23,12,9436) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,9436) (# 9016) : der= 6-(23,11,4718) and res= 6-(23,12,9436) - the given design is the residual.
design 7-(24,12,4718) (# 9019) with respect to smaller t

# 9015: 6-(23,11,4718)

clan: 7-(24,12,4718), 1 times derived
derived from supplementary of 7-(24,12,1470) (# 9006)
derived from 7-(24,12,4718) (# 9019)

# 9016: 6-(23,12,9436)

clan: 7-(24,12,4718), 1 times residual
residual design of supplementary of 7-(24,12,1470) (# 9006)
residual design of 7-(24,12,4718) (# 9019)

# 9017: 5-(22,12,4620)

clan: 7-(24,12,1470), 2 times residual
residual design of 6-(23,12,2940) (# 9013)
residual design of supplementary of 6-(23,12,9436) (# 9016)

# 9018: 5-(22,12,14828)

clan: 7-(24,12,4718), 2 times residual
residual design of supplementary of 6-(23,12,2940) (# 9013)
residual design of 6-(23,12,9436) (# 9016)

# 9019: 7-(24,12,4718)

clan: 7-(24,12,4718)
Alltop construction for design 6-(23,11,4718) (# 9015)

# 9020: 6-(23,11,1512)

clan: 7-(24,12,1512), 1 times derived
$ {\bf PGL(2,19)}{\bf S}_{3}x$% -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
derived from 7-(24,12,1512) (# 9022)
derived from supplementary of 7-(24,12,4676) (# 9035)

# 9021: 6-(24,12,4536)

clan: 7-(24,12,1512), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1512) (# 9020)
design 7-(24,12,1512) (# 9022) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3024) (# 9029) : der= 6-(23,11,1512) and res= 6-(23,12,3024) - the given design is the residual.
supplementary design of 7-(24,12,4676) (# 9035) with respect to smaller t

# 9022: 7-(24,12,1512)

clan: 7-(24,12,1512)
Alltop construction for design 6-(23,11,1512) (# 9020)

# 9023: 5-(23,11,14028)

clan: 7-(24,12,4676), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1512) (# 9020) with respect to smaller t
derived from supplementary of 6-(24,12,4536) (# 9021)
Tran van Trung construction (right) for 5-(22,10,4676) (# 9024) : der= 5-(22,10,4676) and res= 5-(22,11,9352) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,9352) (# 9025) : der= 5-(22,10,4676) and res= 5-(22,11,9352) - the given design is the residual.
derived from 6-(24,12,14028) (# 9030)
design 6-(23,11,4676) (# 9031) with respect to smaller t

# 9024: 5-(22,10,4676)

clan: 7-(24,12,4676), 2 times derived
derived from supplementary of 6-(23,11,1512) (# 9020)
derived from 6-(23,11,4676) (# 9031)

# 9025: 5-(22,11,9352)

clan: 7-(24,12,4676), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1512) (# 9020)
derived from supplementary of 6-(23,12,3024) (# 9029)
residual design of 6-(23,11,4676) (# 9031)
derived from 6-(23,12,9352) (# 9032)

# 9026: 5-(23,12,7776)

clan: 7-(24,12,1512), 1 times reduced t, 1 times residual
residual design of 6-(24,12,4536) (# 9021)
design 6-(23,12,3024) (# 9029) with respect to smaller t
residual design of supplementary of 6-(24,12,14028) (# 9030)
supplementary design of 6-(23,12,9352) (# 9032) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,4752) (# 9033) : der= 5-(22,11,3024) and res= 5-(22,12,4752) - the given design is the residual.

# 9027: 5-(24,12,38076)

clan: 7-(24,12,4676), 2 times reduced t
supplementary design of 6-(24,12,4536) (# 9021) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,14028) (# 9023)
Tran van Trung construction (right) for 5-(23,11,14028) (# 9023) : der= 5-(23,11,14028) and res= 5-(23,12,24048) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,24048) (# 9028) : der= 5-(23,11,14028) and res= 5-(23,12,24048) - the given design is the residual.
design 6-(24,12,14028) (# 9030) with respect to smaller t

# 9028: 5-(23,12,24048)

clan: 7-(24,12,4676), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,4536) (# 9021)
supplementary design of 6-(23,12,3024) (# 9029) with respect to smaller t
residual design of 6-(24,12,14028) (# 9030)
design 6-(23,12,9352) (# 9032) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,14696) (# 9034) : der= 5-(22,11,9352) and res= 5-(22,12,14696) - the given design is the residual.

# 9029: 6-(23,12,3024)

clan: 7-(24,12,1512), 1 times residual
residual design of 7-(24,12,1512) (# 9022)
residual design of supplementary of 7-(24,12,4676) (# 9035)

# 9030: 6-(24,12,14028)

clan: 7-(24,12,4676), 1 times reduced t
supplementary design of 7-(24,12,1512) (# 9022) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4676) (# 9031)
Tran van Trung construction (right) for 6-(23,11,4676) (# 9031) : der= 6-(23,11,4676) and res= 6-(23,12,9352) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,9352) (# 9032) : der= 6-(23,11,4676) and res= 6-(23,12,9352) - the given design is the residual.
design 7-(24,12,4676) (# 9035) with respect to smaller t

# 9031: 6-(23,11,4676)

clan: 7-(24,12,4676), 1 times derived
derived from supplementary of 7-(24,12,1512) (# 9022)
derived from 7-(24,12,4676) (# 9035)

# 9032: 6-(23,12,9352)

clan: 7-(24,12,4676), 1 times residual
residual design of supplementary of 7-(24,12,1512) (# 9022)
residual design of 7-(24,12,4676) (# 9035)

# 9033: 5-(22,12,4752)

clan: 7-(24,12,1512), 2 times residual
residual design of 6-(23,12,3024) (# 9029)
residual design of supplementary of 6-(23,12,9352) (# 9032)

# 9034: 5-(22,12,14696)

clan: 7-(24,12,4676), 2 times residual
residual design of supplementary of 6-(23,12,3024) (# 9029)
residual design of 6-(23,12,9352) (# 9032)

# 9035: 7-(24,12,4676)

clan: 7-(24,12,4676)
Alltop construction for design 6-(23,11,4676) (# 9031)

# 9036: 6-(23,11,1526)

clan: 7-(24,12,1526), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,1526) (# 9040)
derived from supplementary of 7-(24,12,4662) (# 9053)
$ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9037: 5-(23,11,4578)

clan: 7-(24,12,1526), 1 times reduced t, 1 times derived
design 6-(23,11,1526) (# 9036) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,1526) (# 9038) : der= 5-(22,10,1526) and res= 5-(22,11,3052) - the given design is the derived.
derived from 6-(24,12,4578) (# 9039)
derived from supplementary of 6-(24,12,13986) (# 9048)
supplementary design of 6-(23,11,4662) (# 9049) with respect to smaller t

# 9038: 5-(22,10,1526)

clan: 7-(24,12,1526), 2 times derived
derived from 6-(23,11,1526) (# 9036)
derived from supplementary of 6-(23,11,4662) (# 9049)

# 9039: 6-(24,12,4578)

clan: 7-(24,12,1526), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1526) (# 9036)
design 7-(24,12,1526) (# 9040) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3052) (# 9047) : der= 6-(23,11,1526) and res= 6-(23,12,3052) - the given design is the residual.
supplementary design of 7-(24,12,4662) (# 9053) with respect to smaller t

# 9040: 7-(24,12,1526)

clan: 7-(24,12,1526)
Alltop construction for design 6-(23,11,1526) (# 9036)

# 9041: 5-(23,11,13986)

clan: 7-(24,12,4662), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1526) (# 9036) with respect to smaller t
derived from supplementary of 6-(24,12,4578) (# 9039)
Tran van Trung construction (right) for 5-(22,10,4662) (# 9042) : der= 5-(22,10,4662) and res= 5-(22,11,9324) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,9324) (# 9043) : der= 5-(22,10,4662) and res= 5-(22,11,9324) - the given design is the residual.
derived from 6-(24,12,13986) (# 9048)
design 6-(23,11,4662) (# 9049) with respect to smaller t

# 9042: 5-(22,10,4662)

clan: 7-(24,12,4662), 2 times derived
derived from supplementary of 6-(23,11,1526) (# 9036)
derived from 6-(23,11,4662) (# 9049)

# 9043: 5-(22,11,9324)

clan: 7-(24,12,4662), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1526) (# 9036)
derived from supplementary of 6-(23,12,3052) (# 9047)
residual design of 6-(23,11,4662) (# 9049)
derived from 6-(23,12,9324) (# 9050)

# 9044: 5-(23,12,7848)

clan: 7-(24,12,1526), 1 times reduced t, 1 times residual
residual design of 6-(24,12,4578) (# 9039)
design 6-(23,12,3052) (# 9047) with respect to smaller t
residual design of supplementary of 6-(24,12,13986) (# 9048)
supplementary design of 6-(23,12,9324) (# 9050) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,4796) (# 9051) : der= 5-(22,11,3052) and res= 5-(22,12,4796) - the given design is the residual.

# 9045: 5-(24,12,37962)

clan: 7-(24,12,4662), 2 times reduced t
supplementary design of 6-(24,12,4578) (# 9039) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,13986) (# 9041)
Tran van Trung construction (right) for 5-(23,11,13986) (# 9041) : der= 5-(23,11,13986) and res= 5-(23,12,23976) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,23976) (# 9046) : der= 5-(23,11,13986) and res= 5-(23,12,23976) - the given design is the residual.
design 6-(24,12,13986) (# 9048) with respect to smaller t

# 9046: 5-(23,12,23976)

clan: 7-(24,12,4662), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,4578) (# 9039)
supplementary design of 6-(23,12,3052) (# 9047) with respect to smaller t
residual design of 6-(24,12,13986) (# 9048)
design 6-(23,12,9324) (# 9050) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,14652) (# 9052) : der= 5-(22,11,9324) and res= 5-(22,12,14652) - the given design is the residual.

# 9047: 6-(23,12,3052)

clan: 7-(24,12,1526), 1 times residual
residual design of 7-(24,12,1526) (# 9040)
residual design of supplementary of 7-(24,12,4662) (# 9053)

# 9048: 6-(24,12,13986)

clan: 7-(24,12,4662), 1 times reduced t
supplementary design of 7-(24,12,1526) (# 9040) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4662) (# 9049)
Tran van Trung construction (right) for 6-(23,11,4662) (# 9049) : der= 6-(23,11,4662) and res= 6-(23,12,9324) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,9324) (# 9050) : der= 6-(23,11,4662) and res= 6-(23,12,9324) - the given design is the residual.
design 7-(24,12,4662) (# 9053) with respect to smaller t

# 9049: 6-(23,11,4662)

clan: 7-(24,12,4662), 1 times derived
derived from supplementary of 7-(24,12,1526) (# 9040)
derived from 7-(24,12,4662) (# 9053)

# 9050: 6-(23,12,9324)

clan: 7-(24,12,4662), 1 times residual
residual design of supplementary of 7-(24,12,1526) (# 9040)
residual design of 7-(24,12,4662) (# 9053)

# 9051: 5-(22,12,4796)

clan: 7-(24,12,1526), 2 times residual
residual design of 6-(23,12,3052) (# 9047)
residual design of supplementary of 6-(23,12,9324) (# 9050)

# 9052: 5-(22,12,14652)

clan: 7-(24,12,4662), 2 times residual
residual design of supplementary of 6-(23,12,3052) (# 9047)
residual design of 6-(23,12,9324) (# 9050)

# 9053: 7-(24,12,4662)

clan: 7-(24,12,4662)
Alltop construction for design 6-(23,11,4662) (# 9049)

# 9054: 6-(23,11,1568)

clan: 7-(24,12,1568), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,1568) (# 9058)
derived from supplementary of 7-(24,12,4620) (# 9071)

# 9055: 5-(23,11,4704)

clan: 7-(24,12,1568), 1 times reduced t, 1 times derived
design 6-(23,11,1568) (# 9054) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,1568) (# 9056) : der= 5-(22,10,1568) and res= 5-(22,11,3136) - the given design is the derived.
derived from 6-(24,12,4704) (# 9057)
derived from supplementary of 6-(24,12,13860) (# 9066)
supplementary design of 6-(23,11,4620) (# 9067) with respect to smaller t

# 9056: 5-(22,10,1568)

clan: 7-(24,12,1568), 2 times derived
derived from 6-(23,11,1568) (# 9054)
derived from supplementary of 6-(23,11,4620) (# 9067)

# 9057: 6-(24,12,4704)

clan: 7-(24,12,1568), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1568) (# 9054)
design 7-(24,12,1568) (# 9058) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3136) (# 9065) : der= 6-(23,11,1568) and res= 6-(23,12,3136) - the given design is the residual.
supplementary design of 7-(24,12,4620) (# 9071) with respect to smaller t

# 9058: 7-(24,12,1568)

clan: 7-(24,12,1568)
Alltop construction for design 6-(23,11,1568) (# 9054)

# 9059: 5-(23,11,13860)

clan: 7-(24,12,4620), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1568) (# 9054) with respect to smaller t
derived from supplementary of 6-(24,12,4704) (# 9057)
Tran van Trung construction (right) for 5-(22,10,4620) (# 9060) : der= 5-(22,10,4620) and res= 5-(22,11,9240) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,9240) (# 9061) : der= 5-(22,10,4620) and res= 5-(22,11,9240) - the given design is the residual.
derived from 6-(24,12,13860) (# 9066)
design 6-(23,11,4620) (# 9067) with respect to smaller t

# 9060: 5-(22,10,4620)

clan: 7-(24,12,4620), 2 times derived
derived from supplementary of 6-(23,11,1568) (# 9054)
derived from 6-(23,11,4620) (# 9067)

# 9061: 5-(22,11,9240)

clan: 7-(24,12,4620), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1568) (# 9054)
derived from supplementary of 6-(23,12,3136) (# 9065)
residual design of 6-(23,11,4620) (# 9067)
derived from 6-(23,12,9240) (# 9068)

# 9062: 5-(23,12,8064)

clan: 7-(24,12,1568), 1 times reduced t, 1 times residual
residual design of 6-(24,12,4704) (# 9057)
design 6-(23,12,3136) (# 9065) with respect to smaller t
residual design of supplementary of 6-(24,12,13860) (# 9066)
supplementary design of 6-(23,12,9240) (# 9068) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,4928) (# 9069) : der= 5-(22,11,3136) and res= 5-(22,12,4928) - the given design is the residual.

# 9063: 5-(24,12,37620)

clan: 7-(24,12,4620), 2 times reduced t
supplementary design of 6-(24,12,4704) (# 9057) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,13860) (# 9059)
Tran van Trung construction (right) for 5-(23,11,13860) (# 9059) : der= 5-(23,11,13860) and res= 5-(23,12,23760) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,23760) (# 9064) : der= 5-(23,11,13860) and res= 5-(23,12,23760) - the given design is the residual.
design 6-(24,12,13860) (# 9066) with respect to smaller t

# 9064: 5-(23,12,23760)

clan: 7-(24,12,4620), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,4704) (# 9057)
supplementary design of 6-(23,12,3136) (# 9065) with respect to smaller t
residual design of 6-(24,12,13860) (# 9066)
design 6-(23,12,9240) (# 9068) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,14520) (# 9070) : der= 5-(22,11,9240) and res= 5-(22,12,14520) - the given design is the residual.

# 9065: 6-(23,12,3136)

clan: 7-(24,12,1568), 1 times residual
residual design of 7-(24,12,1568) (# 9058)
residual design of supplementary of 7-(24,12,4620) (# 9071)

# 9066: 6-(24,12,13860)

clan: 7-(24,12,4620), 1 times reduced t
supplementary design of 7-(24,12,1568) (# 9058) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4620) (# 9067)
Tran van Trung construction (right) for 6-(23,11,4620) (# 9067) : der= 6-(23,11,4620) and res= 6-(23,12,9240) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,9240) (# 9068) : der= 6-(23,11,4620) and res= 6-(23,12,9240) - the given design is the residual.
design 7-(24,12,4620) (# 9071) with respect to smaller t

# 9067: 6-(23,11,4620)

clan: 7-(24,12,4620), 1 times derived
derived from supplementary of 7-(24,12,1568) (# 9058)
derived from 7-(24,12,4620) (# 9071)

# 9068: 6-(23,12,9240)

clan: 7-(24,12,4620), 1 times residual
residual design of supplementary of 7-(24,12,1568) (# 9058)
residual design of 7-(24,12,4620) (# 9071)

# 9069: 5-(22,12,4928)

clan: 7-(24,12,1568), 2 times residual
residual design of 6-(23,12,3136) (# 9065)
residual design of supplementary of 6-(23,12,9240) (# 9068)

# 9070: 5-(22,12,14520)

clan: 7-(24,12,4620), 2 times residual
residual design of supplementary of 6-(23,12,3136) (# 9065)
residual design of 6-(23,12,9240) (# 9068)

# 9071: 7-(24,12,4620)

clan: 7-(24,12,4620)
Alltop construction for design 6-(23,11,4620) (# 9067)

# 9072: 6-(23,11,1596)

clan: 7-(24,12,1596), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,1596) (# 9076)
derived from supplementary of 7-(24,12,4592) (# 9089)

# 9073: 5-(23,11,4788)

clan: 7-(24,12,1596), 1 times reduced t, 1 times derived
design 6-(23,11,1596) (# 9072) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,1596) (# 9074) : der= 5-(22,10,1596) and res= 5-(22,11,3192) - the given design is the derived.
derived from 6-(24,12,4788) (# 9075)
derived from supplementary of 6-(24,12,13776) (# 9084)
supplementary design of 6-(23,11,4592) (# 9085) with respect to smaller t

# 9074: 5-(22,10,1596)

clan: 7-(24,12,1596), 2 times derived
derived from 6-(23,11,1596) (# 9072)
derived from supplementary of 6-(23,11,4592) (# 9085)

# 9075: 6-(24,12,4788)

clan: 7-(24,12,1596), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1596) (# 9072)
design 7-(24,12,1596) (# 9076) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3192) (# 9083) : der= 6-(23,11,1596) and res= 6-(23,12,3192) - the given design is the residual.
supplementary design of 7-(24,12,4592) (# 9089) with respect to smaller t

# 9076: 7-(24,12,1596)

clan: 7-(24,12,1596)
Alltop construction for design 6-(23,11,1596) (# 9072)

# 9077: 5-(23,11,13776)

clan: 7-(24,12,4592), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1596) (# 9072) with respect to smaller t
derived from supplementary of 6-(24,12,4788) (# 9075)
Tran van Trung construction (right) for 5-(22,10,4592) (# 9078) : der= 5-(22,10,4592) and res= 5-(22,11,9184) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,9184) (# 9079) : der= 5-(22,10,4592) and res= 5-(22,11,9184) - the given design is the residual.
derived from 6-(24,12,13776) (# 9084)
design 6-(23,11,4592) (# 9085) with respect to smaller t

# 9078: 5-(22,10,4592)

clan: 7-(24,12,4592), 2 times derived
derived from supplementary of 6-(23,11,1596) (# 9072)
derived from 6-(23,11,4592) (# 9085)

# 9079: 5-(22,11,9184)

clan: 7-(24,12,4592), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1596) (# 9072)
derived from supplementary of 6-(23,12,3192) (# 9083)
residual design of 6-(23,11,4592) (# 9085)
derived from 6-(23,12,9184) (# 9086)

# 9080: 5-(23,12,8208)

clan: 7-(24,12,1596), 1 times reduced t, 1 times residual
residual design of 6-(24,12,4788) (# 9075)
design 6-(23,12,3192) (# 9083) with respect to smaller t
residual design of supplementary of 6-(24,12,13776) (# 9084)
supplementary design of 6-(23,12,9184) (# 9086) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,5016) (# 9087) : der= 5-(22,11,3192) and res= 5-(22,12,5016) - the given design is the residual.

# 9081: 5-(24,12,37392)

clan: 7-(24,12,4592), 2 times reduced t
supplementary design of 6-(24,12,4788) (# 9075) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,13776) (# 9077)
Tran van Trung construction (right) for 5-(23,11,13776) (# 9077) : der= 5-(23,11,13776) and res= 5-(23,12,23616) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,23616) (# 9082) : der= 5-(23,11,13776) and res= 5-(23,12,23616) - the given design is the residual.
design 6-(24,12,13776) (# 9084) with respect to smaller t

# 9082: 5-(23,12,23616)

clan: 7-(24,12,4592), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,4788) (# 9075)
supplementary design of 6-(23,12,3192) (# 9083) with respect to smaller t
residual design of 6-(24,12,13776) (# 9084)
design 6-(23,12,9184) (# 9086) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,14432) (# 9088) : der= 5-(22,11,9184) and res= 5-(22,12,14432) - the given design is the residual.

# 9083: 6-(23,12,3192)

clan: 7-(24,12,1596), 1 times residual
residual design of 7-(24,12,1596) (# 9076)
residual design of supplementary of 7-(24,12,4592) (# 9089)

# 9084: 6-(24,12,13776)

clan: 7-(24,12,4592), 1 times reduced t
supplementary design of 7-(24,12,1596) (# 9076) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4592) (# 9085)
Tran van Trung construction (right) for 6-(23,11,4592) (# 9085) : der= 6-(23,11,4592) and res= 6-(23,12,9184) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,9184) (# 9086) : der= 6-(23,11,4592) and res= 6-(23,12,9184) - the given design is the residual.
design 7-(24,12,4592) (# 9089) with respect to smaller t

# 9085: 6-(23,11,4592)

clan: 7-(24,12,4592), 1 times derived
derived from supplementary of 7-(24,12,1596) (# 9076)
derived from 7-(24,12,4592) (# 9089)

# 9086: 6-(23,12,9184)

clan: 7-(24,12,4592), 1 times residual
residual design of supplementary of 7-(24,12,1596) (# 9076)
residual design of 7-(24,12,4592) (# 9089)

# 9087: 5-(22,12,5016)

clan: 7-(24,12,1596), 2 times residual
residual design of 6-(23,12,3192) (# 9083)
residual design of supplementary of 6-(23,12,9184) (# 9086)

# 9088: 5-(22,12,14432)

clan: 7-(24,12,4592), 2 times residual
residual design of supplementary of 6-(23,12,3192) (# 9083)
residual design of 6-(23,12,9184) (# 9086)

# 9089: 7-(24,12,4592)

clan: 7-(24,12,4592)
Alltop construction for design 6-(23,11,4592) (# 9085)

# 9090: 6-(23,11,1638)

clan: 13-(30,15,36), 4 times derived, 3 times residual
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,1638) (# 9092)
derived from supplementary of 7-(24,12,4550) (# 9110)
$ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9091: 6-(24,12,4914)

clan: 13-(30,15,36), 1 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 6-(23,11,1638) (# 9090)
design 7-(24,12,1638) (# 9092) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3276) (# 9100) : der= 6-(23,11,1638) and res= 6-(23,12,3276) - the given design is the residual.
supplementary design of 7-(24,12,4550) (# 9110) with respect to smaller t

# 9092: 7-(24,12,1638)

clan: 13-(30,15,36), 3 times derived, 3 times residual
Alltop construction for design 6-(23,11,1638) (# 9090)

# 9093: 5-(23,11,13650)

clan: 13-(30,15,100), 1 times reduced t, 4 times derived, 3 times residual
supplementary design of 6-(23,11,1638) (# 9090) with respect to smaller t
derived from supplementary of 6-(24,12,4914) (# 9091)
Tran van Trung construction (left) for 5-(22,11,9100) (# 9094) : der= 5-(22,10,4550) and res= 5-(22,11,9100) - the given design is the residual.
residual design of supplementary of 6-(24,11,2268) (# 9095)
derived from 6-(24,12,13650) (# 9101)
design 6-(23,11,4550) (# 9102) with respect to smaller t

# 9094: 5-(22,11,9100)

clan: 13-(30,15,100), 4 times derived, 4 times residual
residual design of supplementary of 6-(23,11,1638) (# 9090)
derived from supplementary of 6-(23,12,3276) (# 9100)
residual design of 6-(23,11,4550) (# 9102)
derived from 6-(23,12,9100) (# 9103)

# 9095: 6-(24,11,2268)

clan: 13-(30,15,36), 1 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 6-(23,11,1638) (# 9090) : der= 6-(23,10,630) and res= 6-(23,11,1638) - the given design is the residual.

# 9096: 5-(23,12,8424)

clan: 13-(30,15,36), 1 times reduced t, 3 times derived, 4 times residual
residual design of 6-(24,12,4914) (# 9091)
design 6-(23,12,3276) (# 9100) with respect to smaller t
residual design of supplementary of 6-(24,12,13650) (# 9101)
supplementary design of 6-(23,12,9100) (# 9103) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,5148) (# 9108) : der= 5-(22,11,3276) and res= 5-(22,12,5148) - the given design is the residual.

# 9097: 5-(24,12,37050)

clan: 13-(30,15,100), 2 times reduced t, 3 times derived, 3 times residual
supplementary design of 6-(24,12,4914) (# 9091) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,13650) (# 9093)
Tran van Trung construction (right) for 5-(23,11,13650) (# 9093) : der= 5-(23,11,13650) and res= 5-(23,12,23400) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,23400) (# 9098) : der= 5-(23,11,13650) and res= 5-(23,12,23400) - the given design is the residual.
residual design of supplementary of 6-(25,12,7182) (# 9099)
design 6-(24,12,13650) (# 9101) with respect to smaller t
derived from supplementary of 6-(25,13,13338) (# 9114)
residual design of 6-(25,12,19950) (# 9116)
derived from 6-(25,13,37050) (# 9117)

# 9098: 5-(23,12,23400)

clan: 13-(30,15,100), 1 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 6-(24,12,4914) (# 9091)
supplementary design of 6-(23,12,3276) (# 9100) with respect to smaller t
residual design of 6-(24,12,13650) (# 9101)
design 6-(23,12,9100) (# 9103) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,14300) (# 9109) : der= 5-(22,11,9100) and res= 5-(22,12,14300) - the given design is the residual.

# 9099: 6-(25,12,7182)

clan: 13-(30,15,36), 2 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 6-(24,12,4914) (# 9091) : der= 6-(24,11,2268) and res= 6-(24,12,4914) - the given design is the residual.
Tran van Trung construction (right) for 6-(24,11,2268) (# 9095) : der= 6-(24,11,2268) and res= 6-(24,12,4914) - the given design is the derived.
derived from 7-(26,13,7182) (# 9107)
derived from supplementary of 7-(26,13,19950) (# 9120)

created: Fri Oct 23 11:12:09 CEST 2009