t designs with small t, id ge 3100

# 3100: 5-(25,12,27360)

clan: 15-(32,16,6), 3 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,17784) (# 3099) : der= 5-(24,11,9576) and res= 5-(24,12,17784) - the given design is the residual.
design 6-(25,12,9576) (# 13229) with respect to smaller t
supplementary design of 6-(25,12,17556) (# 13233) with respect to smaller t
derived from 6-(26,13,27360) (# 13235)
residual design of 6-(26,12,13680) (# 13237)
derived from supplementary of 6-(26,13,50160) (# 13241)
residual design of supplementary of 6-(26,12,25080) (# 13243)

# 3101: 5-(26,13,71820)

clan: 15-(32,16,6), 4 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,27360) (# 3100)
design 6-(26,13,27360) (# 13235) with respect to smaller t
supplementary design of 6-(26,13,50160) (# 13241) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,44460) (# 13246) : der= 5-(25,12,27360) and res= 5-(25,13,44460) - the given design is the residual.
residual design of 6-(27,13,41040) (# 13248)
residual design of supplementary of 6-(27,13,75240) (# 13252)
derived from 6-(27,14,71820) (# 13266)
derived from supplementary of 6-(27,14,131670) (# 13267)

# 3102: 5-(26,12,41040)

clan: 15-(32,16,6), 4 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,27360) (# 3100) : der= 5-(25,11,13680) and res= 5-(25,12,27360) - the given design is the residual.
design 6-(26,12,13680) (# 13237) with respect to smaller t
supplementary design of 6-(26,12,25080) (# 13243) with respect to smaller t
derived from 6-(27,13,41040) (# 13248)
derived from supplementary of 6-(27,13,75240) (# 13252)
residual design of 6-(27,12,19152) (# 13333)
residual design of supplementary of 6-(27,12,35112) (# 13335)

# 3103: 5-(27,13,112860)

clan: 15-(32,16,6), 5 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,71820) (# 3101) : der= 5-(26,12,41040) and res= 5-(26,13,71820) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,41040) (# 3102) : der= 5-(26,12,41040) and res= 5-(26,13,71820) - the given design is the derived.
design 6-(27,13,41040) (# 13248) with respect to smaller t
supplementary design of 6-(27,13,75240) (# 13252) with respect to smaller t
derived from 6-(28,14,112860) (# 13255)
derived from supplementary of 6-(28,14,206910) (# 13259)
residual design of 6-(28,13,60192) (# 13337)
residual design of supplementary of 6-(28,13,110352) (# 13339)

# 3104: 5-(28,14,288420)

clan: 15-(32,16,6), 6 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,112860) (# 3103)
design 6-(28,14,112860) (# 13255) with respect to smaller t
supplementary design of 6-(28,14,206910) (# 13259) with respect to smaller t
Tran van Trung construction (left) for 5-(27,14,175560) (# 13264) : der= 5-(27,13,112860) and res= 5-(27,14,175560) - the given design is the residual.
residual design of 6-(29,14,173052) (# 13341)
residual design of supplementary of 6-(29,14,317262) (# 13343)
derived from 6-(29,15,288420) (# 13353)
derived from supplementary of 6-(29,15,528770) (# 13354)

# 3105: 5-(24,12,17790)

clan: 5-(24,12,17790)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3106: 5-(24,12,17796)

clan: 5-(24,12,17796)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3107: 5-(24,12,17802)

clan: 5-(24,12,17802)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3108: 5-(24,12,17808)

clan: 5-(24,12,17808)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3109: 5-(24,12,17814)

clan: 5-(24,12,17814)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3110: 5-(24,12,1782)

clan: 5-(24,12,1782)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3111: 5-(24,12,17820)

clan: 5-(24,12,17820)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3112: 5-(24,12,17826)

clan: 5-(24,12,17826)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3113: 5-(24,12,17832)

clan: 5-(24,12,17832)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3114: 5-(24,12,17838)

clan: 5-(24,12,17838)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3115: 5-(24,12,17844)

clan: 5-(24,12,17844)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3116: 5-(24,12,17850)

clan: 5-(24,12,17850)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3117: 5-(24,12,17856)

clan: 5-(24,12,17856)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3118: 5-(24,12,17862)

clan: 11-(30,15,1374), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3119: 5-(24,12,17868)

clan: 5-(24,12,17868)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3120: 5-(24,12,17874)

clan: 5-(24,12,17874)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3121: 5-(24,12,17880)

clan: 5-(24,12,17880)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3122: 5-(24,12,17886)

clan: 5-(24,12,17886)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3123: 5-(24,12,17892)

clan: 5-(24,12,17892)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3124: 5-(24,12,17898)

clan: 7-(24,12,2198), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,6594) (# 9375)
design 6-(24,12,6594) (# 9377) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,11304) (# 9382) : der= 5-(23,11,6594) and res= 5-(23,12,11304) - the given design is the residual.
supplementary design of 6-(24,12,11970) (# 9386) with respect to smaller t

# 3125: 5-(24,12,17904)

clan: 5-(24,12,17904)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3126: 5-(24,12,17910)

clan: 5-(24,12,17910)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3127: 5-(24,12,17916)

clan: 5-(24,12,17916)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3128: 5-(24,12,17922)

clan: 5-(24,12,17922)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3129: 5-(24,12,17928)

clan: 5-(24,12,17928)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3130: 5-(24,12,17934)

clan: 5-(24,12,17934)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3131: 5-(24,12,17940)

clan: 13-(32,16,345), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3132: 5-(24,12,17946)

clan: 5-(24,12,17946)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3133: 5-(24,12,17952)

clan: 5-(24,12,17952)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3134: 5-(24,12,17958)

clan: 5-(24,12,17958)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3135: 5-(24,12,17964)

clan: 5-(24,12,17964)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3136: 5-(24,12,17970)

clan: 5-(24,12,17970)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3137: 5-(24,12,17976)

clan: 5-(24,12,17976)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3138: 5-(24,12,17982)

clan: 5-(24,12,17982)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3139: 5-(24,12,17988)

clan: 5-(24,12,17988)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3140: 5-(24,12,17994)

clan: 5-(24,12,17994)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3141: 5-(24,12,180)

clan: 5-(24,12,180)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3142: 5-(24,12,18000)

clan: 5-(24,12,18000)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3143: 5-(24,12,18006)

clan: 5-(24,12,18006)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3144: 5-(24,12,18012)

clan: 7-(24,12,2212), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3145: 5-(24,12,18018)

clan: 11-(30,15,1386), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,9702) (# 9980)
derived from 6-(25,13,18018) (# 9989)
residual design of supplementary of 6-(25,12,17430) (# 9991)
derived from supplementary of 6-(25,13,32370) (# 9992)

# 3146: 5-(25,12,27720)

clan: 11-(30,15,1386), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,18018) (# 3145) : der= 5-(24,11,9702) and res= 5-(24,12,18018) - the given design is the residual.
design 6-(25,12,9702) (# 9980) with respect to smaller t
derived from 6-(26,13,27720) (# 9981)
derived from supplementary of 6-(26,13,49800) (# 9990)
supplementary design of 6-(25,12,17430) (# 9991) with respect to smaller t

# 3147: 5-(26,13,72765)

clan: 11-(30,15,1386), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,27720) (# 3146)
design 6-(26,13,27720) (# 9981) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,45045) (# 9986) : der= 5-(25,12,27720) and res= 5-(25,13,45045) - the given design is the residual.
supplementary design of 6-(26,13,49800) (# 9990) with respect to smaller t

# 3148: 5-(26,12,41580)

clan: 11-(30,15,1386), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,27720) (# 3146) : der= 5-(25,11,13860) and res= 5-(25,12,27720) - the given design is the residual.

# 3149: 5-(27,13,114345)

clan: 11-(30,15,1386), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,72765) (# 3147) : der= 5-(26,12,41580) and res= 5-(26,13,72765) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,41580) (# 3148) : der= 5-(26,12,41580) and res= 5-(26,13,72765) - the given design is the derived.

# 3150: 5-(28,14,292215)

clan: 11-(30,15,1386), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,114345) (# 3149)

# 3151: 5-(24,12,18024)

clan: 5-(24,12,18024)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3152: 5-(24,12,18030)

clan: 5-(24,12,18030)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3153: 5-(24,12,18036)

clan: 5-(24,12,18036)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3154: 5-(24,12,18042)

clan: 5-(24,12,18042)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3155: 5-(24,12,18048)

clan: 5-(24,12,18048)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3156: 5-(24,12,18054)

clan: 5-(24,12,18054)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3157: 5-(24,12,18060)

clan: 5-(24,12,18060)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3158: 5-(24,12,18066)

clan: 5-(24,12,18066)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3159: 5-(24,12,18072)

clan: 5-(24,12,18072)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3160: 5-(24,12,18078)

clan: 5-(24,12,18078)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3161: 5-(24,12,18084)

clan: 5-(24,12,18084)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3162: 5-(24,12,18090)

clan: 5-(24,12,18090)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3163: 5-(24,12,18096)

clan: 13-(32,16,348), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3164: 5-(24,12,18102)

clan: 5-(24,12,18102)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3165: 5-(24,12,18108)

clan: 5-(24,12,18108)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3166: 5-(24,12,18114)

clan: 5-(24,12,18114)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3167: 5-(24,12,1812)

clan: 5-(24,12,1812)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3168: 5-(24,12,18120)

clan: 5-(24,12,18120)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3169: 5-(24,12,18126)

clan: 7-(24,12,2226), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,6678) (# 9393)
design 6-(24,12,6678) (# 9395) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,11448) (# 9400) : der= 5-(23,11,6678) and res= 5-(23,12,11448) - the given design is the residual.
supplementary design of 6-(24,12,11886) (# 9404) with respect to smaller t

# 3170: 5-(24,12,18132)