t designs with small t, id ge 9200

# 9200: 6-(26,13,54720)

clan: 15-(32,16,12), 3 times reduced t, 3 times derived, 3 times residual
supplementary design of 7-(26,13,7980) (# 9192) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,19152) (# 9201)
Tran van Trung construction (right) for 6-(25,12,19152) (# 9201) : der= 6-(25,12,19152) and res= 6-(25,13,35568) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,35568) (# 9202) : der= 6-(25,12,19152) and res= 6-(25,13,35568) - the given design is the residual.
design 7-(26,13,19152) (# 9205) with respect to smaller t

# 9201: 6-(25,12,19152)

clan: 15-(32,16,12), 2 times reduced t, 4 times derived, 3 times residual
derived from supplementary of 7-(26,13,7980) (# 9192)
derived from 7-(26,13,19152) (# 9205)

# 9202: 6-(25,13,35568)

clan: 15-(32,16,12), 2 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 7-(26,13,7980) (# 9192)
residual design of 7-(26,13,19152) (# 9205)

# 9203: 5-(24,13,22230)

clan: 15-(32,16,5), 2 times reduced t, 3 times derived, 5 times residual
residual design of 6-(25,13,14820) (# 9199)
residual design of supplementary of 6-(25,13,35568) (# 9202)

# 9204: 5-(24,13,53352)

clan: 15-(32,16,12), 2 times reduced t, 3 times derived, 5 times residual
residual design of supplementary of 6-(25,13,14820) (# 9199)
residual design of 6-(25,13,35568) (# 9202)

# 9205: 7-(26,13,19152)

clan: 15-(32,16,12), 2 times reduced t, 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,19152) (# 9201)

# 9206: 6-(23,11,1848)

clan: 7-(24,12,1848), 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-(24,12,1848) (# 9210)
derived from supplementary of 7-(24,12,4340) (# 9223)

# 9207: 5-(23,11,5544)

clan: 7-(24,12,1848), 1 times reduced t, 1 times derived
design 6-(23,11,1848) (# 9206) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,1848) (# 9208) : der= 5-(22,10,1848) and res= 5-(22,11,3696) - the given design is the derived.
derived from 6-(24,12,5544) (# 9209)
derived from supplementary of 6-(24,12,13020) (# 9218)
supplementary design of 6-(23,11,4340) (# 9219) with respect to smaller t

# 9208: 5-(22,10,1848)

clan: 7-(24,12,1848), 2 times derived
derived from 6-(23,11,1848) (# 9206)
derived from supplementary of 6-(23,11,4340) (# 9219)

# 9209: 6-(24,12,5544)

clan: 7-(24,12,1848), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1848) (# 9206)
design 7-(24,12,1848) (# 9210) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3696) (# 9217) : der= 6-(23,11,1848) and res= 6-(23,12,3696) - the given design is the residual.
supplementary design of 7-(24,12,4340) (# 9223) with respect to smaller t

# 9210: 7-(24,12,1848)

clan: 7-(24,12,1848)
Alltop construction for design 6-(23,11,1848) (# 9206)

# 9211: 5-(23,11,13020)

clan: 7-(24,12,4340), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1848) (# 9206) with respect to smaller t
derived from supplementary of 6-(24,12,5544) (# 9209)
Tran van Trung construction (right) for 5-(22,10,4340) (# 9212) : der= 5-(22,10,4340) and res= 5-(22,11,8680) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8680) (# 9213) : der= 5-(22,10,4340) and res= 5-(22,11,8680) - the given design is the residual.
derived from 6-(24,12,13020) (# 9218)
design 6-(23,11,4340) (# 9219) with respect to smaller t

# 9212: 5-(22,10,4340)

clan: 7-(24,12,4340), 2 times derived
derived from supplementary of 6-(23,11,1848) (# 9206)
derived from 6-(23,11,4340) (# 9219)

# 9213: 5-(22,11,8680)

clan: 7-(24,12,4340), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1848) (# 9206)
derived from supplementary of 6-(23,12,3696) (# 9217)
residual design of 6-(23,11,4340) (# 9219)
derived from 6-(23,12,8680) (# 9220)

# 9214: 5-(23,12,9504)

clan: 7-(24,12,1848), 1 times reduced t, 1 times residual
residual design of 6-(24,12,5544) (# 9209)
design 6-(23,12,3696) (# 9217) with respect to smaller t
residual design of supplementary of 6-(24,12,13020) (# 9218)
supplementary design of 6-(23,12,8680) (# 9220) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,5808) (# 9221) : der= 5-(22,11,3696) and res= 5-(22,12,5808) - the given design is the residual.

# 9215: 5-(24,12,35340)

clan: 7-(24,12,4340), 2 times reduced t
supplementary design of 6-(24,12,5544) (# 9209) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,13020) (# 9211)
Tran van Trung construction (right) for 5-(23,11,13020) (# 9211) : der= 5-(23,11,13020) and res= 5-(23,12,22320) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,22320) (# 9216) : der= 5-(23,11,13020) and res= 5-(23,12,22320) - the given design is the residual.
design 6-(24,12,13020) (# 9218) with respect to smaller t

# 9216: 5-(23,12,22320)

clan: 7-(24,12,4340), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,5544) (# 9209)
supplementary design of 6-(23,12,3696) (# 9217) with respect to smaller t
residual design of 6-(24,12,13020) (# 9218)
design 6-(23,12,8680) (# 9220) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,13640) (# 9222) : der= 5-(22,11,8680) and res= 5-(22,12,13640) - the given design is the residual.

# 9217: 6-(23,12,3696)

clan: 7-(24,12,1848), 1 times residual
residual design of 7-(24,12,1848) (# 9210)
residual design of supplementary of 7-(24,12,4340) (# 9223)

# 9218: 6-(24,12,13020)

clan: 7-(24,12,4340), 1 times reduced t
supplementary design of 7-(24,12,1848) (# 9210) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4340) (# 9219)
Tran van Trung construction (right) for 6-(23,11,4340) (# 9219) : der= 6-(23,11,4340) and res= 6-(23,12,8680) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8680) (# 9220) : der= 6-(23,11,4340) and res= 6-(23,12,8680) - the given design is the residual.
design 7-(24,12,4340) (# 9223) with respect to smaller t

# 9219: 6-(23,11,4340)

clan: 7-(24,12,4340), 1 times derived
derived from supplementary of 7-(24,12,1848) (# 9210)
derived from 7-(24,12,4340) (# 9223)

# 9220: 6-(23,12,8680)

clan: 7-(24,12,4340), 1 times residual
residual design of supplementary of 7-(24,12,1848) (# 9210)
residual design of 7-(24,12,4340) (# 9223)

# 9221: 5-(22,12,5808)

clan: 7-(24,12,1848), 2 times residual
residual design of 6-(23,12,3696) (# 9217)
residual design of supplementary of 6-(23,12,8680) (# 9220)

# 9222: 5-(22,12,13640)

clan: 7-(24,12,4340), 2 times residual
residual design of supplementary of 6-(23,12,3696) (# 9217)
residual design of 6-(23,12,8680) (# 9220)

# 9223: 7-(24,12,4340)

clan: 7-(24,12,4340)
Alltop construction for design 6-(23,11,4340) (# 9219)

# 9224: 6-(23,11,1890)

clan: 7-(24,12,1890), 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-(24,12,1890) (# 9226)
derived from supplementary of 7-(24,12,4298) (# 9239)

# 9225: 6-(24,12,5670)

clan: 7-(24,12,1890), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1890) (# 9224)
design 7-(24,12,1890) (# 9226) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3780) (# 9233) : der= 6-(23,11,1890) and res= 6-(23,12,3780) - the given design is the residual.
supplementary design of 7-(24,12,4298) (# 9239) with respect to smaller t

# 9226: 7-(24,12,1890)

clan: 7-(24,12,1890)
Alltop construction for design 6-(23,11,1890) (# 9224)

# 9227: 5-(23,11,12894)

clan: 7-(24,12,4298), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1890) (# 9224) with respect to smaller t
derived from supplementary of 6-(24,12,5670) (# 9225)
Tran van Trung construction (right) for 5-(22,10,4298) (# 9228) : der= 5-(22,10,4298) and res= 5-(22,11,8596) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8596) (# 9229) : der= 5-(22,10,4298) and res= 5-(22,11,8596) - the given design is the residual.
derived from 6-(24,12,12894) (# 9234)
design 6-(23,11,4298) (# 9235) with respect to smaller t

# 9228: 5-(22,10,4298)

clan: 7-(24,12,4298), 2 times derived
derived from supplementary of 6-(23,11,1890) (# 9224)
derived from 6-(23,11,4298) (# 9235)

# 9229: 5-(22,11,8596)

clan: 7-(24,12,4298), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1890) (# 9224)
derived from supplementary of 6-(23,12,3780) (# 9233)
residual design of 6-(23,11,4298) (# 9235)
derived from 6-(23,12,8596) (# 9236)

# 9230: 5-(23,12,9720)

clan: 7-(24,12,1890), 1 times reduced t, 1 times residual
residual design of 6-(24,12,5670) (# 9225)
design 6-(23,12,3780) (# 9233) with respect to smaller t
residual design of supplementary of 6-(24,12,12894) (# 9234)
supplementary design of 6-(23,12,8596) (# 9236) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,5940) (# 9237) : der= 5-(22,11,3780) and res= 5-(22,12,5940) - the given design is the residual.

# 9231: 5-(24,12,34998)

clan: 7-(24,12,4298), 2 times reduced t
supplementary design of 6-(24,12,5670) (# 9225) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12894) (# 9227)
Tran van Trung construction (right) for 5-(23,11,12894) (# 9227) : der= 5-(23,11,12894) and res= 5-(23,12,22104) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,22104) (# 9232) : der= 5-(23,11,12894) and res= 5-(23,12,22104) - the given design is the residual.
design 6-(24,12,12894) (# 9234) with respect to smaller t

# 9232: 5-(23,12,22104)

clan: 7-(24,12,4298), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,5670) (# 9225)
supplementary design of 6-(23,12,3780) (# 9233) with respect to smaller t
residual design of 6-(24,12,12894) (# 9234)
design 6-(23,12,8596) (# 9236) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,13508) (# 9238) : der= 5-(22,11,8596) and res= 5-(22,12,13508) - the given design is the residual.

# 9233: 6-(23,12,3780)

clan: 7-(24,12,1890), 1 times residual
residual design of 7-(24,12,1890) (# 9226)
residual design of supplementary of 7-(24,12,4298) (# 9239)

# 9234: 6-(24,12,12894)

clan: 7-(24,12,4298), 1 times reduced t
supplementary design of 7-(24,12,1890) (# 9226) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4298) (# 9235)
Tran van Trung construction (right) for 6-(23,11,4298) (# 9235) : der= 6-(23,11,4298) and res= 6-(23,12,8596) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8596) (# 9236) : der= 6-(23,11,4298) and res= 6-(23,12,8596) - the given design is the residual.
design 7-(24,12,4298) (# 9239) with respect to smaller t

# 9235: 6-(23,11,4298)

clan: 7-(24,12,4298), 1 times derived
derived from supplementary of 7-(24,12,1890) (# 9226)
derived from 7-(24,12,4298) (# 9239)

# 9236: 6-(23,12,8596)

clan: 7-(24,12,4298), 1 times residual
residual design of supplementary of 7-(24,12,1890) (# 9226)
residual design of 7-(24,12,4298) (# 9239)

# 9237: 5-(22,12,5940)

clan: 7-(24,12,1890), 2 times residual
residual design of 6-(23,12,3780) (# 9233)
residual design of supplementary of 6-(23,12,8596) (# 9236)

# 9238: 5-(22,12,13508)

clan: 7-(24,12,4298), 2 times residual
residual design of supplementary of 6-(23,12,3780) (# 9233)
residual design of 6-(23,12,8596) (# 9236)

# 9239: 7-(24,12,4298)

clan: 7-(24,12,4298)
Alltop construction for design 6-(23,11,4298) (# 9235)

# 9240: 6-(23,11,1946)

clan: 7-(24,12,1946), 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-(24,12,1946) (# 9244)
derived from supplementary of 7-(24,12,4242) (# 9257)

# 9241: 5-(23,11,5838)

clan: 7-(24,12,1946), 1 times reduced t, 1 times derived
design 6-(23,11,1946) (# 9240) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,1946) (# 9242) : der= 5-(22,10,1946) and res= 5-(22,11,3892) - the given design is the derived.
derived from 6-(24,12,5838) (# 9243)
derived from supplementary of 6-(24,12,12726) (# 9252)
supplementary design of 6-(23,11,4242) (# 9253) with respect to smaller t

# 9242: 5-(22,10,1946)

clan: 7-(24,12,1946), 2 times derived
derived from 6-(23,11,1946) (# 9240)
derived from supplementary of 6-(23,11,4242) (# 9253)

# 9243: 6-(24,12,5838)

clan: 7-(24,12,1946), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,1946) (# 9240)
design 7-(24,12,1946) (# 9244) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,3892) (# 9251) : der= 6-(23,11,1946) and res= 6-(23,12,3892) - the given design is the residual.
supplementary design of 7-(24,12,4242) (# 9257) with respect to smaller t

# 9244: 7-(24,12,1946)

clan: 7-(24,12,1946)
Alltop construction for design 6-(23,11,1946) (# 9240)

# 9245: 5-(23,11,12726)

clan: 7-(24,12,4242), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,1946) (# 9240) with respect to smaller t
derived from supplementary of 6-(24,12,5838) (# 9243)
Tran van Trung construction (right) for 5-(22,10,4242) (# 9246) : der= 5-(22,10,4242) and res= 5-(22,11,8484) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8484) (# 9247) : der= 5-(22,10,4242) and res= 5-(22,11,8484) - the given design is the residual.
derived from 6-(24,12,12726) (# 9252)
design 6-(23,11,4242) (# 9253) with respect to smaller t

# 9246: 5-(22,10,4242)

clan: 7-(24,12,4242), 2 times derived
derived from supplementary of 6-(23,11,1946) (# 9240)
derived from 6-(23,11,4242) (# 9253)

# 9247: 5-(22,11,8484)

clan: 7-(24,12,4242), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,1946) (# 9240)
derived from supplementary of 6-(23,12,3892) (# 9251)
residual design of 6-(23,11,4242) (# 9253)
derived from 6-(23,12,8484) (# 9254)

# 9248: 5-(23,12,10008)

clan: 7-(24,12,1946), 1 times reduced t, 1 times residual
residual design of 6-(24,12,5838) (# 9243)
design 6-(23,12,3892) (# 9251) with respect to smaller t
residual design of supplementary of 6-(24,12,12726) (# 9252)
supplementary design of 6-(23,12,8484) (# 9254) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6116) (# 9255) : der= 5-(22,11,3892) and res= 5-(22,12,6116) - the given design is the residual.

# 9249: 5-(24,12,34542)

clan: 7-(24,12,4242), 2 times reduced t
supplementary design of 6-(24,12,5838) (# 9243) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12726) (# 9245)
Tran van Trung construction (right) for 5-(23,11,12726) (# 9245) : der= 5-(23,11,12726) and res= 5-(23,12,21816) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,21816) (# 9250) : der= 5-(23,11,12726) and res= 5-(23,12,21816) - the given design is the residual.
design 6-(24,12,12726) (# 9252) with respect to smaller t

# 9250: 5-(23,12,21816)

clan: 7-(24,12,4242), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,5838) (# 9243)
supplementary design of 6-(23,12,3892) (# 9251) with respect to smaller t
residual design of 6-(24,12,12726) (# 9252)
design 6-(23,12,8484) (# 9254) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,13332) (# 9256) : der= 5-(22,11,8484) and res= 5-(22,12,13332) - the given design is the residual.

# 9251: 6-(23,12,3892)

clan: 7-(24,12,1946), 1 times residual
residual design of 7-(24,12,1946) (# 9244)
residual design of supplementary of 7-(24,12,4242) (# 9257)

# 9252: 6-(24,12,12726)

clan: 7-(24,12,4242), 1 times reduced t
supplementary design of 7-(24,12,1946) (# 9244) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4242) (# 9253)
Tran van Trung construction (right) for 6-(23,11,4242) (# 9253) : der= 6-(23,11,4242) and res= 6-(23,12,8484) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8484) (# 9254) : der= 6-(23,11,4242) and res= 6-(23,12,8484) - the given design is the residual.
design 7-(24,12,4242) (# 9257) with respect to smaller t

# 9253: 6-(23,11,4242)

clan: 7-(24,12,4242), 1 times derived
derived from supplementary of 7-(24,12,1946) (# 9244)
derived from 7-(24,12,4242) (# 9257)

# 9254: 6-(23,12,8484)

clan: 7-(24,12,4242), 1 times residual
residual design of supplementary of 7-(24,12,1946) (# 9244)
residual design of 7-(24,12,4242) (# 9257)

# 9255: 5-(22,12,6116)

clan: 7-(24,12,1946), 2 times residual
residual design of 6-(23,12,3892) (# 9251)
residual design of supplementary of 6-(23,12,8484) (# 9254)

# 9256: 5-(22,12,13332)

clan: 7-(24,12,4242), 2 times residual
residual design of supplementary of 6-(23,12,3892) (# 9251)
residual design of 6-(23,12,8484) (# 9254)

# 9257: 7-(24,12,4242)

clan: 7-(24,12,4242)
Alltop construction for design 6-(23,11,4242) (# 9253)

# 9258: 6-(23,11,2016)

clan: 7-(24,12,2016), 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-(24,12,2016) (# 9260)
derived from supplementary of 7-(24,12,4172) (# 9273)

# 9259: 6-(24,12,6048)

clan: 7-(24,12,2016), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2016) (# 9258)
design 7-(24,12,2016) (# 9260) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4032) (# 9267) : der= 6-(23,11,2016) and res= 6-(23,12,4032) - the given design is the residual.
supplementary design of 7-(24,12,4172) (# 9273) with respect to smaller t

# 9260: 7-(24,12,2016)

clan: 7-(24,12,2016)
Alltop construction for design 6-(23,11,2016) (# 9258)

# 9261: 5-(23,11,12516)

clan: 7-(24,12,4172), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2016) (# 9258) with respect to smaller t
derived from supplementary of 6-(24,12,6048) (# 9259)
Tran van Trung construction (right) for 5-(22,10,4172) (# 9262) : der= 5-(22,10,4172) and res= 5-(22,11,8344) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8344) (# 9263) : der= 5-(22,10,4172) and res= 5-(22,11,8344) - the given design is the residual.
derived from 6-(24,12,12516) (# 9268)
design 6-(23,11,4172) (# 9269) with respect to smaller t

# 9262: 5-(22,10,4172)

clan: 7-(24,12,4172), 2 times derived
derived from supplementary of 6-(23,11,2016) (# 9258)
derived from 6-(23,11,4172) (# 9269)

# 9263: 5-(22,11,8344)

clan: 7-(24,12,4172), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2016) (# 9258)
derived from supplementary of 6-(23,12,4032) (# 9267)
residual design of 6-(23,11,4172) (# 9269)
derived from 6-(23,12,8344) (# 9270)

# 9264: 5-(23,12,10368)

clan: 7-(24,12,2016), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6048) (# 9259)
design 6-(23,12,4032) (# 9267) with respect to smaller t
residual design of supplementary of 6-(24,12,12516) (# 9268)
supplementary design of 6-(23,12,8344) (# 9270) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6336) (# 9271) : der= 5-(22,11,4032) and res= 5-(22,12,6336) - the given design is the residual.

# 9265: 5-(24,12,33972)

clan: 7-(24,12,4172), 2 times reduced t
supplementary design of 6-(24,12,6048) (# 9259) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12516) (# 9261)
Tran van Trung construction (right) for 5-(23,11,12516) (# 9261) : der= 5-(23,11,12516) and res= 5-(23,12,21456) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,21456) (# 9266) : der= 5-(23,11,12516) and res= 5-(23,12,21456) - the given design is the residual.
design 6-(24,12,12516) (# 9268) with respect to smaller t

# 9266: 5-(23,12,21456)

clan: 7-(24,12,4172), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6048) (# 9259)
supplementary design of 6-(23,12,4032) (# 9267) with respect to smaller t
residual design of 6-(24,12,12516) (# 9268)
design 6-(23,12,8344) (# 9270) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,13112) (# 9272) : der= 5-(22,11,8344) and res= 5-(22,12,13112) - the given design is the residual.

# 9267: 6-(23,12,4032)

clan: 7-(24,12,2016), 1 times residual
residual design of 7-(24,12,2016) (# 9260)
residual design of supplementary of 7-(24,12,4172) (# 9273)

# 9268: 6-(24,12,12516)

clan: 7-(24,12,4172), 1 times reduced t
supplementary design of 7-(24,12,2016) (# 9260) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4172) (# 9269)
Tran van Trung construction (right) for 6-(23,11,4172) (# 9269) : der= 6-(23,11,4172) and res= 6-(23,12,8344) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8344) (# 9270) : der= 6-(23,11,4172) and res= 6-(23,12,8344) - the given design is the residual.
design 7-(24,12,4172) (# 9273) with respect to smaller t

# 9269: 6-(23,11,4172)

clan: 7-(24,12,4172), 1 times derived
derived from supplementary of 7-(24,12,2016) (# 9260)
derived from 7-(24,12,4172) (# 9273)

# 9270: 6-(23,12,8344)

clan: 7-(24,12,4172), 1 times residual
residual design of supplementary of 7-(24,12,2016) (# 9260)
residual design of 7-(24,12,4172) (# 9273)

# 9271: 5-(22,12,6336)

clan: 7-(24,12,2016), 2 times residual
residual design of 6-(23,12,4032) (# 9267)
residual design of supplementary of 6-(23,12,8344) (# 9270)

# 9272: 5-(22,12,13112)

clan: 7-(24,12,4172), 2 times residual
residual design of supplementary of 6-(23,12,4032) (# 9267)
residual design of 6-(23,12,8344) (# 9270)

# 9273: 7-(24,12,4172)

clan: 7-(24,12,4172)
Alltop construction for design 6-(23,11,4172) (# 9269)

# 9274: 6-(23,11,2030)

clan: 7-(24,12,2030), 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-(24,12,2030) (# 9278)
derived from supplementary of 7-(24,12,4158) (# 9291)
$ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9275: 5-(23,11,6090)

clan: 7-(24,12,2030), 1 times reduced t, 1 times derived
design 6-(23,11,2030) (# 9274) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2030) (# 9276) : der= 5-(22,10,2030) and res= 5-(22,11,4060) - the given design is the derived.
derived from 6-(24,12,6090) (# 9277)
derived from supplementary of 6-(24,12,12474) (# 9286)
supplementary design of 6-(23,11,4158) (# 9287) with respect to smaller t

# 9276: 5-(22,10,2030)

clan: 7-(24,12,2030), 2 times derived
derived from 6-(23,11,2030) (# 9274)
derived from supplementary of 6-(23,11,4158) (# 9287)

# 9277: 6-(24,12,6090)

clan: 7-(24,12,2030), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2030) (# 9274)
design 7-(24,12,2030) (# 9278) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4060) (# 9285) : der= 6-(23,11,2030) and res= 6-(23,12,4060) - the given design is the residual.
supplementary design of 7-(24,12,4158) (# 9291) with respect to smaller t

# 9278: 7-(24,12,2030)

clan: 7-(24,12,2030)
Alltop construction for design 6-(23,11,2030) (# 9274)

# 9279: 5-(23,11,12474)

clan: 7-(24,12,4158), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2030) (# 9274) with respect to smaller t
derived from supplementary of 6-(24,12,6090) (# 9277)
Tran van Trung construction (right) for 5-(22,10,4158) (# 9280) : der= 5-(22,10,4158) and res= 5-(22,11,8316) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8316) (# 9281) : der= 5-(22,10,4158) and res= 5-(22,11,8316) - the given design is the residual.
derived from 6-(24,12,12474) (# 9286)
design 6-(23,11,4158) (# 9287) with respect to smaller t

# 9280: 5-(22,10,4158)

clan: 7-(24,12,4158), 2 times derived
derived from supplementary of 6-(23,11,2030) (# 9274)
derived from 6-(23,11,4158) (# 9287)

# 9281: 5-(22,11,8316)

clan: 7-(24,12,4158), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2030) (# 9274)
derived from supplementary of 6-(23,12,4060) (# 9285)
residual design of 6-(23,11,4158) (# 9287)
derived from 6-(23,12,8316) (# 9288)

# 9282: 5-(23,12,10440)

clan: 7-(24,12,2030), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6090) (# 9277)
design 6-(23,12,4060) (# 9285) with respect to smaller t
residual design of supplementary of 6-(24,12,12474) (# 9286)
supplementary design of 6-(23,12,8316) (# 9288) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6380) (# 9289) : der= 5-(22,11,4060) and res= 5-(22,12,6380) - the given design is the residual.

# 9283: 5-(24,12,33858)

clan: 7-(24,12,4158), 2 times reduced t
supplementary design of 6-(24,12,6090) (# 9277) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12474) (# 9279)
Tran van Trung construction (right) for 5-(23,11,12474) (# 9279) : der= 5-(23,11,12474) and res= 5-(23,12,21384) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,21384) (# 9284) : der= 5-(23,11,12474) and res= 5-(23,12,21384) - the given design is the residual.
design 6-(24,12,12474) (# 9286) with respect to smaller t

# 9284: 5-(23,12,21384)

clan: 7-(24,12,4158), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6090) (# 9277)
supplementary design of 6-(23,12,4060) (# 9285) with respect to smaller t
residual design of 6-(24,12,12474) (# 9286)
design 6-(23,12,8316) (# 9288) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,13068) (# 9290) : der= 5-(22,11,8316) and res= 5-(22,12,13068) - the given design is the residual.

# 9285: 6-(23,12,4060)

clan: 7-(24,12,2030), 1 times residual
residual design of 7-(24,12,2030) (# 9278)
residual design of supplementary of 7-(24,12,4158) (# 9291)

# 9286: 6-(24,12,12474)

clan: 7-(24,12,4158), 1 times reduced t
supplementary design of 7-(24,12,2030) (# 9278) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4158) (# 9287)
Tran van Trung construction (right) for 6-(23,11,4158) (# 9287) : der= 6-(23,11,4158) and res= 6-(23,12,8316) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8316) (# 9288) : der= 6-(23,11,4158) and res= 6-(23,12,8316) - the given design is the residual.
design 7-(24,12,4158) (# 9291) with respect to smaller t

# 9287: 6-(23,11,4158)

clan: 7-(24,12,4158), 1 times derived
derived from supplementary of 7-(24,12,2030) (# 9278)
derived from 7-(24,12,4158) (# 9291)

# 9288: 6-(23,12,8316)

clan: 7-(24,12,4158), 1 times residual
residual design of supplementary of 7-(24,12,2030) (# 9278)
residual design of 7-(24,12,4158) (# 9291)

# 9289: 5-(22,12,6380)

clan: 7-(24,12,2030), 2 times residual
residual design of 6-(23,12,4060) (# 9285)
residual design of supplementary of 6-(23,12,8316) (# 9288)

# 9290: 5-(22,12,13068)

clan: 7-(24,12,4158), 2 times residual
residual design of supplementary of 6-(23,12,4060) (# 9285)
residual design of 6-(23,12,8316) (# 9288)

# 9291: 7-(24,12,4158)

clan: 7-(24,12,4158)
Alltop construction for design 6-(23,11,4158) (# 9287)

# 9292: 6-(23,11,2072)

clan: 7-(24,12,2072), 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-(24,12,2072) (# 9294)
derived from supplementary of 7-(24,12,4116) (# 9307)

# 9293: 6-(24,12,6216)

clan: 7-(24,12,2072), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2072) (# 9292)
design 7-(24,12,2072) (# 9294) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4144) (# 9301) : der= 6-(23,11,2072) and res= 6-(23,12,4144) - the given design is the residual.
supplementary design of 7-(24,12,4116) (# 9307) with respect to smaller t

# 9294: 7-(24,12,2072)

clan: 7-(24,12,2072)
Alltop construction for design 6-(23,11,2072) (# 9292)

# 9295: 5-(23,11,12348)

clan: 7-(24,12,4116), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2072) (# 9292) with respect to smaller t
derived from supplementary of 6-(24,12,6216) (# 9293)
Tran van Trung construction (right) for 5-(22,10,4116) (# 9296) : der= 5-(22,10,4116) and res= 5-(22,11,8232) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8232) (# 9297) : der= 5-(22,10,4116) and res= 5-(22,11,8232) - the given design is the residual.
derived from 6-(24,12,12348) (# 9302)
design 6-(23,11,4116) (# 9303) with respect to smaller t

# 9296: 5-(22,10,4116)

clan: 7-(24,12,4116), 2 times derived
derived from supplementary of 6-(23,11,2072) (# 9292)
derived from 6-(23,11,4116) (# 9303)

# 9297: 5-(22,11,8232)

clan: 7-(24,12,4116), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2072) (# 9292)
derived from supplementary of 6-(23,12,4144) (# 9301)
residual design of 6-(23,11,4116) (# 9303)
derived from 6-(23,12,8232) (# 9304)

# 9298: 5-(23,12,10656)

clan: 7-(24,12,2072), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6216) (# 9293)
design 6-(23,12,4144) (# 9301) with respect to smaller t
residual design of supplementary of 6-(24,12,12348) (# 9302)
supplementary design of 6-(23,12,8232) (# 9304) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6512) (# 9305) : der= 5-(22,11,4144) and res= 5-(22,12,6512) - the given design is the residual.

# 9299: 5-(24,12,33516)

clan: 7-(24,12,4116), 2 times reduced t
supplementary design of 6-(24,12,6216) (# 9293) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12348) (# 9295)
Tran van Trung construction (right) for 5-(23,11,12348) (# 9295) : der= 5-(23,11,12348) and res= 5-(23,12,21168) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,21168) (# 9300) : der= 5-(23,11,12348) and res= 5-(23,12,21168) - the given design is the residual.
design 6-(24,12,12348) (# 9302) with respect to smaller t

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