t designs with small t, id ge 4200

# 4200: 5-(24,12,24024)

clan: 13-(32,16,462), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,12936) (# 10300)
derived from 6-(25,13,24024) (# 10313)
residual design of supplementary of 6-(25,12,14196) (# 10315)
derived from supplementary of 6-(25,13,26364) (# 10316)

# 4201: 5-(24,12,24030)

clan: 5-(24,12,24030)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4202: 5-(24,12,24036)

clan: 5-(24,12,24036)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4203: 5-(24,12,24042)

clan: 5-(24,12,24042)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4204: 5-(24,12,24048)

clan: 5-(24,12,24048)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4205: 5-(24,12,24054)

clan: 7-(24,12,2954), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,12,8862) (# 9826) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,8862) (# 9827)
Tran van Trung construction (right) for 5-(23,11,8862) (# 9827) : der= 5-(23,11,8862) and res= 5-(23,12,15192) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,15192) (# 9828) : der= 5-(23,11,8862) and res= 5-(23,12,15192) - the given design is the residual.

# 4206: 5-(24,12,2406)

clan: 5-(24,12,2406)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4207: 5-(24,12,24060)

clan: 5-(24,12,24060)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4208: 5-(24,12,24066)

clan: 5-(24,12,24066)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4209: 5-(24,12,24072)

clan: 5-(24,12,24072)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4210: 5-(24,12,24078)

clan: 5-(24,12,24078)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4211: 5-(24,12,24084)

clan: 5-(24,12,24084)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4212: 5-(24,12,24090)

clan: 5-(24,12,24090)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4213: 5-(24,12,24096)

clan: 5-(24,12,24096)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4214: 5-(24,12,24102)

clan: 11-(30,15,1854), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4215: 5-(24,12,24108)

clan: 5-(24,12,24108)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4216: 5-(24,12,24114)

clan: 5-(24,12,24114)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4217: 5-(24,12,24120)

clan: 5-(24,12,24120)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4218: 5-(24,12,24126)

clan: 5-(24,12,24126)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4219: 5-(24,12,24132)

clan: 5-(24,12,24132)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4220: 5-(24,12,24138)

clan: 5-(24,12,24138)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4221: 5-(24,12,24144)

clan: 5-(24,12,24144)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4222: 5-(24,12,24150)

clan: 5-(24,12,24150)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4223: 5-(24,12,24156)

clan: 5-(24,12,24156)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4224: 5-(24,12,24162)

clan: 5-(24,12,24162)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4225: 5-(24,12,24168)

clan: 7-(24,12,2968), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4226: 5-(24,12,24174)

clan: 5-(24,12,24174)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4227: 5-(24,12,24180)

clan: 13-(32,16,465), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4228: 5-(24,12,24186)

clan: 5-(24,12,24186)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4229: 5-(24,12,24192)

clan: 5-(24,12,24192)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4230: 5-(24,12,24198)

clan: 5-(24,12,24198)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4231: 5-(24,12,24204)

clan: 5-(24,12,24204)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4232: 5-(24,12,24210)

clan: 5-(24,12,24210)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4233: 5-(24,12,24216)

clan: 5-(24,12,24216)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4234: 5-(24,12,24222)

clan: 5-(24,12,24222)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4235: 5-(24,12,24228)

clan: 5-(24,12,24228)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4236: 5-(24,12,24234)

clan: 5-(24,12,24234)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4237: 5-(24,12,2424)

clan: 5-(24,12,2424)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4238: 5-(24,12,24240)

clan: 5-(24,12,24240)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4239: 5-(24,12,24246)

clan: 5-(24,12,24246)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4240: 5-(24,12,24252)

clan: 5-(24,12,24252)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4241: 5-(24,12,24258)

clan: 11-(30,15,1866), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4242: 5-(24,12,24264)

clan: 5-(24,12,24264)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4243: 5-(24,12,24270)

clan: 5-(24,12,24270)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4244: 5-(24,12,24276)

clan: 5-(24,12,24276)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4245: 5-(24,12,24282)

clan: 7-(24,12,2982), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,8946) (# 9671)
design 6-(24,12,8946) (# 9673) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,15336) (# 9677) : der= 5-(23,11,8946) and res= 5-(23,12,15336) - the given design is the residual.
supplementary design of 6-(24,12,9618) (# 9681) with respect to smaller t

# 4246: 5-(24,12,24288)