t designs with small t, id ge 8400

# 8400: 5-(32,8,990)

clan: 10-(36,12,110), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8401: 5-(32,8,995)

clan: 5-(32,8,995)
$PSL(2,31)$

# 8402: 5-(32,8,1000)

clan: 6-(33,8,120), 1 times residual
$PSL(2,31)$

# 8403: 5-(33,8,1120)

clan: 6-(33,8,120), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,1000) (# 8402) : der= 5-(32,7,120) and res= 5-(32,8,1000) - the given design is the residual.

# 8404: 5-(32,8,1005)

clan: 9-(36,12,1005), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1005) (# 12419)
derived from supplementary of 6-(33,9,1920) (# 16457)

# 8405: 5-(32,8,1010)

clan: 5-(32,8,1010)
$PSL(2,31)$

# 8406: 5-(32,8,1015)

clan: 5-(32,8,1015)
$PSL(2,31)$

# 8407: 5-(32,8,1020)

clan: 9-(36,12,1020), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1020) (# 12425)
derived from supplementary of 6-(33,9,1905) (# 16469)

# 8408: 5-(32,8,1025)

clan: 6-(33,8,123), 1 times residual
$PSL(2,31)$

# 8409: 5-(32,8,1030)

clan: 5-(32,8,1030)
$PSL(2,31)$

# 8410: 5-(32,8,1035)

clan: 10-(36,12,115), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8411: 5-(32,8,1040)

clan: 5-(32,8,1040)
$PSL(2,31)$

# 8412: 5-(32,8,1045)

clan: 5-(32,8,1045)
$PSL(2,31)$

# 8413: 5-(32,8,1050)

clan: 10-(37,12,126), 4 times derived, 1 times residual
$PSL(2,31)$

# 8414: 5-(33,8,1176)

clan: 10-(37,12,126), 1 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,1050) (# 8413) : der= 5-(32,7,126) and res= 5-(32,8,1050) - the given design is the residual.

# 8415: 5-(32,8,1055)

clan: 5-(32,8,1055)
$PSL(2,31)$

# 8416: 5-(32,8,1060)

clan: 5-(32,8,1060)
$PSL(2,31)$

# 8417: 5-(32,8,1065)

clan: 9-(36,12,1065), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1065) (# 16479)
derived from supplementary of 6-(33,9,1860) (# 16482)

# 8418: 5-(32,8,1070)

clan: 5-(32,8,1070)
$PSL(2,31)$

# 8419: 5-(32,8,1075)

clan: 6-(33,8,129), 1 times residual
$PSL(2,31)$

# 8420: 5-(32,8,1080)

clan: 10-(36,12,120), 1 times reduced t, 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1080) (# 12437)
design 6-(32,8,120) (# 16228) with respect to smaller t
derived from supplementary of 6-(33,9,1845) (# 16230)
supplementary design of 6-(32,8,205) (# 16231) with respect to smaller t
Tran van Trung construction (right) for 5-(31,7,120) (# 16233) : der= 5-(31,7,120) and res= 5-(31,8,960) - the given design is the derived.
Tran van Trung construction (left) for 5-(31,8,960) (# 16234) : der= 5-(31,7,120) and res= 5-(31,8,960) - the given design is the residual.

# 8421: 5-(32,8,1085)

clan: 5-(32,8,1085)
$AGL(4,2)\times C_2$

# 8422: 5-(32,8,1090)

clan: 5-(32,8,1090)
$PSL(2,31)$

# 8423: 5-(32,8,1095)

clan: 9-(36,12,1095), 4 times derived
$PSL(2,31)$

# 8424: 5-(32,8,1100)

clan: 6-(33,8,132), 1 times residual
$PSL(2,31)$

# 8425: 5-(32,8,1105)

clan: 5-(32,8,1105)
$PSL(2,31)$

# 8426: 5-(32,8,1110)

clan: 9-(36,12,1110), 4 times derived
$PSL(2,31)$

# 8427: 5-(32,8,1115)

clan: 5-(32,8,1115)
$PSL(2,31)$

# 8428: 5-(32,8,1120)

clan: 5-(32,8,1120)
$AGL(4,2)\times C_2$
$PSL(2,31)$

# 8429: 5-(32,8,1125)

clan: 11-(37,12,10), 1 times reduced t, 4 times derived, 1 times residual
$PSL(2,31)$
$AGL(4,2)\times C_2$
derived from 6-(33,9,1125) (# 12443)
residual design of 6-(33,8,135) (# 16191)
design 6-(32,8,125) (# 16193) with respect to smaller t
residual design of supplementary of 6-(33,8,216) (# 16194)
supplementary design of 6-(32,8,200) (# 16196) with respect to smaller t
Tran van Trung construction (right) for 5-(31,7,125) (# 16201) : der= 5-(31,7,125) and res= 5-(31,8,1000) - the given design is the derived.
Tran van Trung construction (left) for 5-(31,8,1000) (# 16204) : der= 5-(31,7,125) and res= 5-(31,8,1000) - the given design is the residual.
derived from supplementary of 6-(33,9,1800) (# 16241)

# 8430: 5-(33,8,1260)

clan: 11-(37,12,10), 2 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,1125) (# 8429) : der= 5-(32,7,135) and res= 5-(32,8,1125) - the given design is the residual.
design 6-(33,8,135) (# 16191) with respect to smaller t
supplementary design of 6-(33,8,216) (# 16194) with respect to smaller t
derived from 6-(34,9,1260) (# 16199)
derived from supplementary of 6-(34,9,2016) (# 16246)

# 8431: 5-(32,8,1130)

clan: 5-(32,8,1130)
$PSL(2,31)$

# 8432: 5-(32,8,1135)

clan: 5-(32,8,1135)
$PSL(2,31)$

# 8433: 5-(32,8,1140)

clan: 9-(36,12,1140), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1140) (# 12450)
derived from supplementary of 6-(33,9,1785) (# 16521)

# 8434: 5-(32,8,1145)

clan: 5-(32,8,1145)
$PSL(2,31)$

# 8435: 5-(32,8,1150)

clan: 6-(33,8,138), 1 times residual
$PSL(2,31)$

# 8436: 5-(32,8,1155)

clan: 9-(36,12,1155), 4 times derived
$PSL(2,31)$

# 8437: 5-(32,8,1160)

clan: 5-(32,8,1160)
$PSL(2,31)$

# 8438: 5-(32,8,1165)

clan: 5-(32,8,1165)
$PSL(2,31)$

# 8439: 5-(32,8,1170)

clan: 23-(48,24,10), 2 times reduced t, 16 times derived
$PSL(2,31)$

# 8440: 5-(32,8,1175)

clan: 6-(33,8,141), 1 times residual
$PSL(2,31)$

# 8441: 5-(33,8,1316)

clan: 6-(33,8,141), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,1175) (# 8440) : der= 5-(32,7,141) and res= 5-(32,8,1175) - the given design is the residual.

# 8442: 5-(32,8,1180)

clan: 5-(32,8,1180)
$PSL(2,31)$

# 8443: 5-(32,8,1185)

clan: 9-(36,12,1185), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1185) (# 12456)
derived from supplementary of 6-(33,9,1740) (# 16533)

# 8444: 5-(32,8,1190)

clan: 5-(32,8,1190)
$PSL(2,31)$

# 8445: 5-(32,8,1195)

clan: 5-(32,8,1195)
$PSL(2,31)$

# 8446: 5-(32,8,1200)

clan: 10-(37,12,144), 4 times derived, 1 times residual
$PSL(2,31)$
derived from 6-(33,9,1200) (# 12469)

# 8447: 5-(32,8,1205)

clan: 5-(32,8,1205)
$AGL(4,2)\times C_2$

# 8448: 5-(32,8,1210)

clan: 5-(32,8,1210)
$PSL(2,31)$

# 8449: 5-(32,8,1215)

clan: 10-(36,12,135), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8450: 5-(32,8,1220)

clan: 5-(32,8,1220)
$PSL(2,31)$

# 8451: 5-(32,8,1225)

clan: 6-(33,8,147), 1 times residual
$PSL(2,31)$

# 8452: 5-(33,8,1372)

clan: 6-(33,8,147), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,1225) (# 8451) : der= 5-(32,7,147) and res= 5-(32,8,1225) - the given design is the residual.

# 8453: 5-(32,8,1230)

clan: 9-(36,12,1230), 4 times derived
$PSL(2,31)$

# 8454: 5-(32,8,1235)

clan: 5-(32,8,1235)
$PSL(2,31)$

# 8455: 5-(32,8,1240)

clan: 5-(32,8,1240)
$PSL(2,31)$

# 8456: 5-(32,8,1245)

clan: 9-(36,12,1245), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1245) (# 12475)
derived from supplementary of 6-(33,9,1680) (# 16545)

# 8457: 5-(32,8,1250)

clan: 6-(33,8,150), 1 times residual
$PSL(2,31)$

# 8458: 5-(33,8,1400)

clan: 6-(33,8,150), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,1250) (# 8457) : der= 5-(32,7,150) and res= 5-(32,8,1250) - the given design is the residual.

# 8459: 5-(32,8,1255)

clan: 5-(32,8,1255)
$PSL(2,31)$

# 8460: 5-(32,8,1260)

clan: 10-(36,12,140), 1 times reduced t, 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1260) (# 12481)
design 6-(32,8,140) (# 16248) with respect to smaller t
derived from supplementary of 6-(33,9,1665) (# 16250)
supplementary design of 6-(32,8,185) (# 16251) with respect to smaller t
Tran van Trung construction (right) for 5-(31,7,140) (# 16253) : der= 5-(31,7,140) and res= 5-(31,8,1120) - the given design is the derived.
Tran van Trung construction (left) for 5-(31,8,1120) (# 16254) : der= 5-(31,7,140) and res= 5-(31,8,1120) - the given design is the residual.

# 8461: 5-(32,8,1265)

clan: 5-(32,8,1265)
$PSL(2,31)$

# 8462: 5-(32,8,1270)

clan: 5-(32,8,1270)
$PSL(2,31)$

# 8463: 5-(32,8,1275)

clan: 10-(37,12,153), 4 times derived, 1 times residual
$PSL(2,31)$

# 8464: 5-(32,8,1280)

clan: 5-(32,8,1280)
$PSL(2,31)$

# 8465: 5-(32,8,1285)

clan: 5-(32,8,1285)
$PSL(2,31)$

# 8466: 5-(32,8,1290)

clan: 9-(36,12,1290), 4 times derived
$PSL(2,31)$

# 8467: 5-(32,8,1295)

clan: 5-(32,8,1295)
$PSL(2,31)$

# 8468: 5-(32,8,1300)

clan: 7-(34,8,12), 2 times residual
$PSL(2,31)$
$AGL(4,2)\times C_2$

# 8469: 5-(33,8,1456)

clan: 7-(34,8,12), 1 times reduced t, 1 times residual
Tran van Trung construction (left) for 5-(32,8,1300) (# 8468) : der= 5-(32,7,156) and res= 5-(32,8,1300) - the given design is the residual.

# 8470: 5-(34,8,1624)

clan: 7-(34,8,12), 2 times reduced t
Tran van Trung construction (left) for 5-(33,8,1456) (# 8469) : der= 5-(33,7,168) and res= 5-(33,8,1456) - the given design is the residual.

# 8471: 5-(32,8,1305)

clan: 10-(36,12,145), 1 times reduced t, 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1305) (# 12487)
design 6-(32,8,145) (# 16260) with respect to smaller t
derived from supplementary of 6-(33,9,1620) (# 16262)
supplementary design of 6-(32,8,180) (# 16263) with respect to smaller t
Tran van Trung construction (right) for 5-(31,7,145) (# 16265) : der= 5-(31,7,145) and res= 5-(31,8,1160) - the given design is the derived.
Tran van Trung construction (left) for 5-(31,8,1160) (# 16266) : der= 5-(31,7,145) and res= 5-(31,8,1160) - the given design is the residual.

# 8472: 5-(32,8,1310)

clan: 5-(32,8,1310)
$PSL(2,31)$

# 8473: 5-(32,8,1315)

clan: 5-(32,8,1315)
$PSL(2,31)$

# 8474: 5-(32,8,1320)

clan: 9-(36,12,1320), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1320) (# 12493)
derived from supplementary of 6-(33,9,1605) (# 16569)

# 8475: 5-(32,8,1325)

clan: 6-(33,8,159), 1 times residual
$PSL(2,31)$

# 8476: 5-(32,8,1330)

clan: 5-(32,8,1330)
$PSL(2,31)$

# 8477: 5-(32,8,1335)

clan: 9-(36,12,1335), 4 times derived
$PSL(2,31)$

# 8478: 5-(32,8,1340)

clan: 5-(32,8,1340)
$PSL(2,31)$

# 8479: 5-(32,8,1345)

clan: 5-(32,8,1345)
$PSL(2,31)$

# 8480: 5-(32,8,1350)

clan: 11-(37,12,12), 1 times reduced t, 4 times derived, 1 times residual
$PSL(2,31)$

# 8481: 5-(33,8,1512)

clan: 11-(37,12,12), 2 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,1350) (# 8480) : der= 5-(32,7,162) and res= 5-(32,8,1350) - the given design is the residual.

# 8482: 5-(32,8,1355)

clan: 5-(32,8,1355)
$PSL(2,31)$

# 8483: 5-(32,8,1360)

clan: 5-(32,8,1360)
$PSL(2,31)$

# 8484: 5-(32,8,1365)

clan: 21-(48,24,1365), 16 times derived
$PSL(2,31)$
derived from 6-(33,9,1365) (# 12499)
derived from supplementary of 6-(33,9,1560) (# 16581)

# 8485: 5-(32,8,1370)

clan: 5-(32,8,1370)
$PSL(2,31)$

# 8486: 5-(32,8,1375)

clan: 6-(33,8,165), 1 times residual
$PSL(2,31)$

# 8487: 5-(33,8,1540)

clan: 6-(33,8,165), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,1375) (# 8486) : der= 5-(32,7,165) and res= 5-(32,8,1375) - the given design is the residual.

# 8488: 5-(32,8,1380)

clan: 9-(36,12,1380), 4 times derived
$PSL(2,31)$
derived from 6-(33,9,1380) (# 12505)
derived from supplementary of 6-(33,9,1545) (# 16593)

# 8489: 5-(32,8,1385)

clan: 5-(32,8,1385)
$PSL(2,31)$

# 8490: 5-(32,8,1390)

clan: 5-(32,8,1390)
$PSL(2,31)$

# 8491: 5-(32,8,1395)

clan: 10-(36,12,155), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8492: 5-(32,8,1400)

clan: 6-(33,8,168), 1 times residual
$PSL(2,31)$
$S4 \times PSL(2,7)$

# 8493: 5-(33,8,1568)

clan: 6-(33,8,168), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,1400) (# 8492) : der= 5-(32,7,168) and res= 5-(32,8,1400) - the given design is the residual.

# 8494: 5-(32,8,1405)

clan: 5-(32,8,1405)
$PSL(2,31)$

# 8495: 5-(32,8,1410)

clan: 9-(36,12,1410), 4 times derived
$PSL(2,31)$

# 8496: 5-(32,8,1415)

clan: 5-(32,8,1415)
$PSL(2,31)$

# 8497: 5-(32,8,1420)

clan: 5-(32,8,1420)
$PSL(2,31)$

# 8498: 5-(32,8,1425)

clan: 10-(37,12,171), 4 times derived, 1 times residual
$PSL(2,31)$
derived from 6-(33,9,1425) (# 12511)
residual design of 6-(33,8,171) (# 16333)
residual design of supplementary of 6-(33,8,180) (# 16335)
derived from supplementary of 6-(33,9,1500) (# 16336)

# 8499: 5-(33,8,1596)

clan: 10-(37,12,171), 1 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,1425) (# 8498) : der= 5-(32,7,171) and res= 5-(32,8,1425) - the given design is the residual.
$P\Gamma L(2,32)$
derived from 6-(34,9,1596) (# 16332)
design 6-(33,8,171) (# 16333) with respect to smaller t
derived from supplementary of 6-(34,9,1680) (# 16334)
supplementary design of 6-(33,8,180) (# 16335) with respect to smaller t

created: Fri Oct 23 11:11:40 CEST 2009