clan: 7-(24,12,1722), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,5166) (# 9140)
design 6-(24,12,5166) (# 9142) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,8856) (# 9147) : der= 5-(23,11,5166) and res= 5-(23,12,8856) - the given design is the residual.
supplementary design of 6-(24,12,13398) (# 9151) with respect to smaller t

# 2416: 5-(24,12,14028)

clan: 5-(24,12,14028)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2417: 5-(24,12,14034)

clan: 5-(24,12,14034)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2418: 5-(24,12,14040)

clan: 13-(32,16,270), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,7560) (# 17773)
residual design of supplementary of 6-(25,12,19572) (# 17774)
derived from 6-(25,13,14040) (# 17776)
derived from supplementary of 6-(25,13,36348) (# 17777)

# 2419: 5-(24,12,14046)

clan: 5-(24,12,14046)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2420: 5-(24,12,14052)

clan: 5-(24,12,14052)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2421: 5-(24,12,14058)

clan: 5-(24,12,14058)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2422: 5-(24,12,14064)

clan: 5-(24,12,14064)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2423: 5-(24,12,14070)

clan: 5-(24,12,14070)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2424: 5-(24,12,14076)

clan: 5-(24,12,14076)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2425: 5-(24,12,14082)

clan: 5-(24,12,14082)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2426: 5-(24,12,14088)

clan: 5-(24,12,14088)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2427: 5-(24,12,14094)

clan: 5-(24,12,14094)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2428: 5-(24,12,14100)

clan: 5-(24,12,14100)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2429: 5-(24,12,14106)

clan: 5-(24,12,14106)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2430: 5-(24,12,14112)

clan: 5-(24,12,14112)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2431: 5-(24,12,14118)

clan: 11-(30,15,1086), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2432: 5-(24,12,14124)

clan: 5-(24,12,14124)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2433: 5-(24,12,14130)

clan: 5-(24,12,14130)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2434: 5-(24,12,14142)

clan: 5-(24,12,14142)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2435: 5-(24,12,14148)

clan: 5-(24,12,14148)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2436: 5-(24,12,14154)

clan: 5-(24,12,14154)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2437: 5-(24,12,1416)

clan: 5-(24,12,1416)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2438: 5-(24,12,14160)

clan: 5-(24,12,14160)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2439: 5-(24,12,14166)

clan: 5-(24,12,14166)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2440: 5-(24,12,14172)

clan: 5-(24,12,14172)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2441: 5-(24,12,14178)

clan: 5-(24,12,14178)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2442: 5-(24,12,14184)

clan: 5-(24,12,14184)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2443: 5-(24,12,14190)

clan: 5-(24,12,14190)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2444: 5-(24,12,14196)

clan: 13-(32,16,273), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2445: 5-(24,12,14202)

clan: 5-(24,12,14202)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2446: 5-(24,12,14208)

clan: 5-(24,12,14208)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2447: 5-(24,12,14214)

clan: 5-(24,12,14214)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2448: 5-(24,12,14220)

clan: 5-(24,12,14220)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2449: 5-(24,12,14226)

clan: 5-(24,12,14226)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2450: 5-(24,12,14232)

clan: 5-(24,12,14232)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2451: 5-(24,12,14238)

clan: 5-(24,12,14238)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2452: 5-(24,12,14244)

clan: 5-(24,12,14244)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2453: 5-(24,12,14250)

clan: 7-(24,12,1750), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2454: 5-(24,12,14256)

clan: 5-(24,12,14256)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2455: 5-(24,12,14262)

clan: 5-(24,12,14262)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2456: 5-(24,12,14268)

clan: 5-(24,12,14268)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2457: 5-(24,12,14274)

clan: 11-(30,15,1098), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2458: 5-(24,12,14280)

clan: 5-(24,12,14280)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2459: 5-(24,12,14286)

clan: 5-(24,12,14286)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2460: 5-(24,12,14292)

clan: 5-(24,12,14292)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2461: 5-(24,12,14298)

clan: 5-(24,12,14298)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2462: 5-(24,12,14304)

clan: 5-(24,12,14304)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2463: 5-(24,12,14310)

clan: 5-(24,12,14310)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2464: 5-(24,12,14316)

clan: 5-(24,12,14316)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2465: 5-(24,12,14322)

clan: 5-(24,12,14322)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2466: 5-(24,12,14328)

clan: 5-(24,12,14328)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2467: 5-(24,12,14334)

clan: 5-(24,12,14334)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2468: 5-(24,12,1434)

clan: 5-(24,12,1434)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2469: 5-(24,12,14340)

clan: 5-(24,12,14340)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2470: 5-(24,12,14346)

clan: 5-(24,12,14346)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2471: 5-(24,12,14352)

clan: 13-(32,16,276), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,7728) (# 9856)
derived from 6-(25,13,14352) (# 9865)
residual design of supplementary of 6-(25,12,19404) (# 9867)
derived from supplementary of 6-(25,13,36036) (# 9868)

# 2472: 5-(25,12,22080)

clan: 13-(32,16,276), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,14352) (# 2471) : der= 5-(24,11,7728) and res= 5-(24,12,14352) - the given design is the residual.
design 6-(25,12,7728) (# 9856) with respect to smaller t
derived from 6-(26,13,22080) (# 9857)
derived from supplementary of 6-(26,13,55440) (# 9866)
supplementary design of 6-(25,12,19404) (# 9867) with respect to smaller t

# 2473: 5-(26,13,57960)

clan: 13-(32,16,276), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,22080) (# 2472)
design 6-(26,13,22080) (# 9857) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,35880) (# 9862) : der= 5-(25,12,22080) and res= 5-(25,13,35880) - the given design is the residual.
supplementary design of 6-(26,13,55440) (# 9866) with respect to smaller t

# 2474: 5-(26,12,33120)

clan: 13-(32,16,276), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,22080) (# 2472) : der= 5-(25,11,11040) and res= 5-(25,12,22080) - the given design is the residual.

# 2475: 5-(27,13,91080)

clan: 13-(32,16,276), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,57960) (# 2473) : der= 5-(26,12,33120) and res= 5-(26,13,57960) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,33120) (# 2474) : der= 5-(26,12,33120) and res= 5-(26,13,57960) - the given design is the derived.

# 2476: 5-(28,14,232760)

clan: 13-(32,16,276), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,91080) (# 2475)

# 2477: 5-(24,12,14358)

clan: 5-(24,12,14358)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2478: 5-(24,12,14364)

clan: 7-(24,12,1764), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2479: 5-(24,12,14370)

clan: 5-(24,12,14370)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2480: 5-(24,12,14376)

clan: 5-(24,12,14376)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2481: 5-(24,12,14382)

clan: 5-(24,12,14382)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2482: 5-(24,12,14388)

clan: 5-(24,12,14388)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2483: 5-(24,12,14394)

clan: 5-(24,12,14394)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2484: 5-(24,12,14400)

clan: 5-(24,12,14400)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2485: 5-(24,12,14406)

clan: 5-(24,12,14406)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2486: 5-(24,12,14412)

clan: 5-(24,12,14412)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2487: 5-(24,12,14418)

clan: 5-(24,12,14418)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2488: 5-(24,12,14424)

clan: 5-(24,12,14424)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2489: 5-(24,12,14430)

clan: 11-(30,15,1110), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2490: 5-(24,12,14436)

clan: 5-(24,12,14436)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2491: 5-(24,12,14442)

clan: 5-(24,12,14442)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2492: 5-(24,12,14448)

clan: 5-(24,12,14448)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2493: 5-(24,12,14454)

clan: 5-(24,12,14454)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2494: 5-(24,12,14460)

clan: 5-(24,12,14460)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2495: 5-(24,12,14466)

clan: 5-(24,12,14466)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2496: 5-(24,12,14472)

clan: 5-(24,12,14472)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2497: 5-(24,12,14478)

clan: 7-(24,12,1778), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction with complementary design for 5-(23,11,5334) (# 9158)
design 6-(24,12,5334) (# 9160) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,9144) (# 9165) : der= 5-(23,11,5334) and res= 5-(23,12,9144) - the given design is the residual.
supplementary design of 6-(24,12,13230) (# 9169) with respect to smaller t

# 2498: 5-(24,12,14484)

clan: 5-(24,12,14484)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 2499: 5-(24,12,14490)

clan: 5-(24,12,14490)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:50 CEST 2009