clan: 7-(24,12,2268), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,6804) (# 9411)
design 6-(24,12,6804) (# 9413) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,11664) (# 9418) : der= 5-(23,11,6804) and res= 5-(23,12,11664) - the given design is the residual.
supplementary design of 6-(24,12,11760) (# 9422) with respect to smaller t

# 3228: 5-(24,12,18474)

clan: 5-(24,12,18474)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3229: 5-(24,12,1848)

clan: 5-(24,12,1848)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3230: 5-(24,12,18480)

clan: 5-(24,12,18480)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3231: 5-(24,12,18486)

clan: 11-(30,15,1422), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3232: 5-(24,12,18492)

clan: 5-(24,12,18492)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3233: 5-(24,12,18498)

clan: 5-(24,12,18498)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3234: 5-(24,12,18504)

clan: 5-(24,12,18504)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3235: 5-(24,12,18510)

clan: 5-(24,12,18510)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3236: 5-(24,12,18516)

clan: 5-(24,12,18516)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3237: 5-(24,12,18522)

clan: 5-(24,12,18522)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3238: 5-(24,12,18528)

clan: 5-(24,12,18528)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3239: 5-(24,12,18534)

clan: 5-(24,12,18534)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3240: 5-(24,12,18540)

clan: 5-(24,12,18540)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3241: 5-(24,12,18546)

clan: 5-(24,12,18546)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3242: 5-(24,12,18552)

clan: 5-(24,12,18552)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3243: 5-(24,12,18558)

clan: 5-(24,12,18558)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3244: 5-(24,12,18564)

clan: 17-(36,18,7), 6 times derived, 6 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3245: 5-(24,12,18570)

clan: 5-(24,12,18570)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3246: 5-(24,12,18576)

clan: 5-(24,12,18576)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3247: 5-(24,12,18582)

clan: 7-(24,12,2282), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,6846) (# 9429)
design 6-(24,12,6846) (# 9431) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,11736) (# 9436) : der= 5-(23,11,6846) and res= 5-(23,12,11736) - the given design is the residual.
supplementary design of 6-(24,12,11718) (# 9440) with respect to smaller t

# 3248: 5-(24,12,18588)

clan: 5-(24,12,18588)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3249: 5-(24,12,18594)

clan: 5-(24,12,18594)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3250: 5-(24,12,18600)

clan: 5-(24,12,18600)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3251: 5-(24,12,18606)

clan: 5-(24,12,18606)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3252: 5-(24,12,18612)

clan: 5-(24,12,18612)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3253: 5-(24,12,18618)

clan: 5-(24,12,18618)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3254: 5-(24,12,18624)

clan: 5-(24,12,18624)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3255: 5-(24,12,18630)

clan: 5-(24,12,18630)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3256: 5-(24,12,18636)

clan: 5-(24,12,18636)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3257: 5-(24,12,18642)

clan: 11-(30,15,1434), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3258: 5-(25,12,28680)

clan: 11-(30,15,1434), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,18642) (# 3257) : der= 5-(24,11,10038) and res= 5-(24,12,18642) - the given design is the residual.

# 3259: 5-(26,13,75285)

clan: 11-(30,15,1434), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,28680) (# 3258)

# 3260: 5-(26,12,43020)

clan: 11-(30,15,1434), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,28680) (# 3258) : der= 5-(25,11,14340) and res= 5-(25,12,28680) - the given design is the residual.

# 3261: 5-(27,13,118305)

clan: 11-(30,15,1434), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,75285) (# 3259) : der= 5-(26,12,43020) and res= 5-(26,13,75285) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,43020) (# 3260) : der= 5-(26,12,43020) and res= 5-(26,13,75285) - the given design is the derived.

# 3262: 5-(28,14,302335)