clan: 11-(30,15,330), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,17325) (# 4510) : der= 5-(26,12,9900) and res= 5-(26,13,17325) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,9900) (# 4511) : der= 5-(26,12,9900) and res= 5-(26,13,17325) - the given design is the derived.

# 4513: 5-(28,14,69575)

clan: 11-(30,15,330), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,27225) (# 4512)

# 4514: 5-(24,12,4320)

clan: 5-(24,12,4320)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4515: 5-(24,12,4338)

clan: 5-(24,12,4338)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4516: 5-(24,12,4356)

clan: 5-(24,12,4356)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4517: 5-(24,12,4386)

clan: 5-(24,12,4386)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4518: 5-(24,12,4404)

clan: 5-(24,12,4404)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4519: 5-(24,12,4422)

clan: 5-(24,12,4422)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4520: 5-(24,12,444)

clan: 5-(24,12,444)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4521: 5-(24,12,4452)

clan: 5-(24,12,4452)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4522: 5-(24,12,4470)

clan: 5-(24,12,4470)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4523: 5-(24,12,4488)

clan: 5-(24,12,4488)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4524: 5-(24,12,4518)

clan: 5-(24,12,4518)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4525: 5-(24,12,4536)

clan: 5-(24,12,4536)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4526: 5-(24,12,4554)

clan: 5-(24,12,4554)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4527: 5-(24,12,4584)

clan: 5-(24,12,4584)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4528: 5-(24,12,4602)

clan: 11-(30,15,354), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4529: 5-(24,12,462)

clan: 5-(24,12,462)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4530: 5-(24,12,4620)

clan: 5-(24,12,4620)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4531: 5-(24,12,4650)

clan: 5-(24,12,4650)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4532: 5-(24,12,4668)

clan: 5-(24,12,4668)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4533: 5-(24,12,4686)

clan: 5-(24,12,4686)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4534: 5-(24,12,4716)

clan: 5-(24,12,4716)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4535: 5-(24,12,4734)

clan: 5-(24,12,4734)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4536: 5-(24,12,4752)

clan: 5-(24,12,4752)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4537: 5-(24,12,4782)

clan: 5-(24,12,4782)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4538: 5-(24,12,48)

clan: 5-(24,12,48)
\cite{Driessen}
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
\cite{AssmusMattson69c}

# 4539: 5-(24,12,4800)

clan: 5-(24,12,4800)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4540: 5-(24,12,4818)

clan: 5-(24,12,4818)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4541: 5-(24,12,4848)

clan: 5-(24,12,4848)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4542: 5-(24,12,4866)

clan: 5-(24,12,4866)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4543: 5-(24,12,4884)

clan: 5-(24,12,4884)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4544: 5-(24,12,4914)

clan: 11-(30,15,378), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4545: 5-(25,12,7560)

clan: 11-(30,15,378), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,4914) (# 4544) : der= 5-(24,11,2646) and res= 5-(24,12,4914) - the given design is the residual.
residual design of 6-(26,12,3780) (# 15044)
derived from 6-(26,13,7560) (# 15045)
residual design of supplementary of 6-(26,12,34980) (# 15048)
derived from supplementary of 6-(26,13,69960) (# 15049)

# 4546: 5-(26,13,19845)

clan: 11-(30,15,378), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,7560) (# 4545)
residual design of 6-(27,13,11340) (# 15043)
design 6-(26,13,7560) (# 15045) with respect to smaller t
residual design of supplementary of 6-(27,13,104940) (# 15047)
supplementary design of 6-(26,13,69960) (# 15049) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,12285) (# 15056) : der= 5-(25,12,7560) and res= 5-(25,13,12285) - the given design is the residual.
derived from 6-(27,14,19845) (# 15058)
derived from supplementary of 6-(27,14,183645) (# 15060)

# 4547: 5-(26,12,11340)

clan: 11-(30,15,378), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,7560) (# 4545) : der= 5-(25,11,3780) and res= 5-(25,12,7560) - the given design is the residual.
derived from 6-(27,13,11340) (# 15043)
design 6-(26,12,3780) (# 15044) with respect to smaller t
derived from supplementary of 6-(27,13,104940) (# 15047)
supplementary design of 6-(26,12,34980) (# 15048) with respect to smaller t

# 4548: 5-(27,13,31185)

clan: 11-(30,15,378), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,19845) (# 4546) : der= 5-(26,12,11340) and res= 5-(26,13,19845) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,11340) (# 4547) : der= 5-(26,12,11340) and res= 5-(26,13,19845) - the given design is the derived.
design 6-(27,13,11340) (# 15043) with respect to smaller t
supplementary design of 6-(27,13,104940) (# 15047) with respect to smaller t
derived from 6-(28,14,31185) (# 15050)
derived from supplementary of 6-(28,14,288585) (# 15059)

# 4549: 5-(28,14,79695)

clan: 11-(30,15,378), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,31185) (# 4548)
design 6-(28,14,31185) (# 15050) with respect to smaller t
supplementary design of 6-(28,14,288585) (# 15059) with respect to smaller t
Tran van Trung construction (left) for 5-(27,14,48510) (# 15062) : der= 5-(27,13,31185) and res= 5-(27,14,48510) - the given design is the residual.

# 4550: 5-(24,12,492)

clan: 5-(24,12,492)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4551: 5-(24,12,4932)

clan: 5-(24,12,4932)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4552: 5-(24,12,4950)

clan: 5-(24,12,4950)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4553: 5-(24,12,4980)

clan: 5-(24,12,4980)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4554: 5-(24,12,4998)

clan: 5-(24,12,4998)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4555: 5-(24,12,5016)

clan: 7-(24,12,616), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4556: 5-(24,12,5046)

clan: 5-(24,12,5046)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4557: 5-(24,12,5064)

clan: 5-(24,12,5064)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4558: 5-(24,12,5082)

clan: 5-(24,12,5082)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4559: 5-(24,12,510)

clan: 5-(24,12,510)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4560: 5-(24,12,5112)

clan: 5-(24,12,5112)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4561: 5-(24,12,5148)

clan: 13-(32,16,99), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4562: 5-(25,12,7920)

clan: 13-(32,16,99), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,5148) (# 4561) : der= 5-(24,11,2772) and res= 5-(24,12,5148) - the given design is the residual.

# 4563: 5-(26,13,20790)

clan: 13-(32,16,99), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,7920) (# 4562)

# 4564: 5-(26,12,11880)

clan: 13-(32,16,99), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,7920) (# 4562) : der= 5-(25,11,3960) and res= 5-(25,12,7920) - the given design is the residual.

# 4565: 5-(27,13,32670)

clan: 13-(32,16,99), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,20790) (# 4563) : der= 5-(26,12,11880) and res= 5-(26,13,20790) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,11880) (# 4564) : der= 5-(26,12,11880) and res= 5-(26,13,20790) - the given design is the derived.

# 4566: 5-(28,14,83490)