# Extensions 1→N→G→Q→1 with N=C12 and Q=C22×D5

Direct product G=N×Q with N=C12 and Q=C22×D5
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=C12 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C121(C22×D5) = S3×D4×D5φ: C22×D5/D5C22 ⊆ Aut C12608+C12:1(C2^2xD5)480,1097
C122(C22×D5) = C2×S3×D20φ: C22×D5/C10C22 ⊆ Aut C12120C12:2(C2^2xD5)480,1088
C123(C22×D5) = C2×C20⋊D6φ: C22×D5/C10C22 ⊆ Aut C12120C12:3(C2^2xD5)480,1089
C124(C22×D5) = C2×D4×D15φ: C22×D5/C10C22 ⊆ Aut C12120C12:4(C2^2xD5)480,1169
C125(C22×D5) = C2×D5×D12φ: C22×D5/D10C2 ⊆ Aut C12120C12:5(C2^2xD5)480,1087
C126(C22×D5) = S3×C2×C4×D5φ: C22×D5/D10C2 ⊆ Aut C12120C12:6(C2^2xD5)480,1086
C127(C22×D5) = C6×D4×D5φ: C22×D5/D10C2 ⊆ Aut C12120C12:7(C2^2xD5)480,1139
C128(C22×D5) = C22×D60φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12:8(C2^2xD5)480,1167
C129(C22×D5) = C22×C4×D15φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12:9(C2^2xD5)480,1166
C1210(C22×D5) = C2×C6×D20φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12:10(C2^2xD5)480,1137

Non-split extensions G=N.Q with N=C12 and Q=C22×D5
extensionφ:Q→Aut NdρLabelID
C12.1(C22×D5) = D5×D4⋊S3φ: C22×D5/D5C22 ⊆ Aut C121208+C12.1(C2^2xD5)480,553
C12.2(C22×D5) = Dic103D6φ: C22×D5/D5C22 ⊆ Aut C121208+C12.2(C2^2xD5)480,554
C12.3(C22×D5) = S3×D4⋊D5φ: C22×D5/D5C22 ⊆ Aut C121208+C12.3(C2^2xD5)480,555
C12.4(C22×D5) = D60.C22φ: C22×D5/D5C22 ⊆ Aut C121208+C12.4(C2^2xD5)480,556
C12.5(C22×D5) = D15⋊D8φ: C22×D5/D5C22 ⊆ Aut C121208+C12.5(C2^2xD5)480,557
C12.6(C22×D5) = D30.8D4φ: C22×D5/D5C22 ⊆ Aut C121208-C12.6(C2^2xD5)480,558
C12.7(C22×D5) = D5×D4.S3φ: C22×D5/D5C22 ⊆ Aut C121208-C12.7(C2^2xD5)480,559
C12.8(C22×D5) = C60.8C23φ: C22×D5/D5C22 ⊆ Aut C122408-C12.8(C2^2xD5)480,560
C12.9(C22×D5) = S3×D4.D5φ: C22×D5/D5C22 ⊆ Aut C121208-C12.9(C2^2xD5)480,561
C12.10(C22×D5) = C60.10C23φ: C22×D5/D5C22 ⊆ Aut C122408-C12.10(C2^2xD5)480,562
C12.11(C22×D5) = Dic10⋊D6φ: C22×D5/D5C22 ⊆ Aut C121208+C12.11(C2^2xD5)480,563
C12.12(C22×D5) = D30.9D4φ: C22×D5/D5C22 ⊆ Aut C122408-C12.12(C2^2xD5)480,564
C12.13(C22×D5) = D1210D10φ: C22×D5/D5C22 ⊆ Aut C121208-C12.13(C2^2xD5)480,565
C12.14(C22×D5) = D12.24D10φ: C22×D5/D5C22 ⊆ Aut C122408-C12.14(C2^2xD5)480,566
C12.15(C22×D5) = D20.9D6φ: C22×D5/D5C22 ⊆ Aut C121208+C12.15(C2^2xD5)480,567
C12.16(C22×D5) = C60.16C23φ: C22×D5/D5C22 ⊆ Aut C122408+C12.16(C2^2xD5)480,568
C12.17(C22×D5) = D20.24D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.17(C2^2xD5)480,569
C12.18(C22×D5) = D2010D6φ: C22×D5/D5C22 ⊆ Aut C121208-C12.18(C2^2xD5)480,570
C12.19(C22×D5) = C60.19C23φ: C22×D5/D5C22 ⊆ Aut C122408+C12.19(C2^2xD5)480,571
C12.20(C22×D5) = D12.9D10φ: C22×D5/D5C22 ⊆ Aut C121208+C12.20(C2^2xD5)480,572
C12.21(C22×D5) = D20.10D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.21(C2^2xD5)480,573
C12.22(C22×D5) = Dic6⋊D10φ: C22×D5/D5C22 ⊆ Aut C121208+C12.22(C2^2xD5)480,574
C12.23(C22×D5) = D30.11D4φ: C22×D5/D5C22 ⊆ Aut C122408-C12.23(C2^2xD5)480,575
C12.24(C22×D5) = D125D10φ: C22×D5/D5C22 ⊆ Aut C121208+C12.24(C2^2xD5)480,576
C12.25(C22×D5) = D5×Q82S3φ: C22×D5/D5C22 ⊆ Aut C121208+C12.25(C2^2xD5)480,577
C12.26(C22×D5) = D20⋊D6φ: C22×D5/D5C22 ⊆ Aut C121208+C12.26(C2^2xD5)480,578
C12.27(C22×D5) = S3×Q8⋊D5φ: C22×D5/D5C22 ⊆ Aut C121208+C12.27(C2^2xD5)480,579
C12.28(C22×D5) = D12⋊D10φ: C22×D5/D5C22 ⊆ Aut C121208+C12.28(C2^2xD5)480,580
C12.29(C22×D5) = D15⋊SD16φ: C22×D5/D5C22 ⊆ Aut C121208-C12.29(C2^2xD5)480,581
C12.30(C22×D5) = D60⋊C22φ: C22×D5/D5C22 ⊆ Aut C121208+C12.30(C2^2xD5)480,582
C12.31(C22×D5) = D5×C3⋊Q16φ: C22×D5/D5C22 ⊆ Aut C122408-C12.31(C2^2xD5)480,583
C12.32(C22×D5) = D20.13D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.32(C2^2xD5)480,584
C12.33(C22×D5) = S3×C5⋊Q16φ: C22×D5/D5C22 ⊆ Aut C122408-C12.33(C2^2xD5)480,585
C12.34(C22×D5) = Dic10.26D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.34(C2^2xD5)480,586
C12.35(C22×D5) = D15⋊Q16φ: C22×D5/D5C22 ⊆ Aut C122408-C12.35(C2^2xD5)480,587
C12.36(C22×D5) = C60.C23φ: C22×D5/D5C22 ⊆ Aut C122408+C12.36(C2^2xD5)480,588
C12.37(C22×D5) = D12.27D10φ: C22×D5/D5C22 ⊆ Aut C122408-C12.37(C2^2xD5)480,589
C12.38(C22×D5) = D20.14D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.38(C2^2xD5)480,590
C12.39(C22×D5) = C60.39C23φ: C22×D5/D5C22 ⊆ Aut C122408+C12.39(C2^2xD5)480,591
C12.40(C22×D5) = D20.D6φ: C22×D5/D5C22 ⊆ Aut C122408+C12.40(C2^2xD5)480,592
C12.41(C22×D5) = D20.27D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.41(C2^2xD5)480,593
C12.42(C22×D5) = D20.28D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.42(C2^2xD5)480,594
C12.43(C22×D5) = Dic10.27D6φ: C22×D5/D5C22 ⊆ Aut C122408+C12.43(C2^2xD5)480,595
C12.44(C22×D5) = C60.44C23φ: C22×D5/D5C22 ⊆ Aut C122408+C12.44(C2^2xD5)480,596
C12.45(C22×D5) = D20.16D6φ: C22×D5/D5C22 ⊆ Aut C122408+C12.45(C2^2xD5)480,597
C12.46(C22×D5) = D20.17D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.46(C2^2xD5)480,598
C12.47(C22×D5) = D12.D10φ: C22×D5/D5C22 ⊆ Aut C122408+C12.47(C2^2xD5)480,599
C12.48(C22×D5) = D30.44D4φ: C22×D5/D5C22 ⊆ Aut C122408-C12.48(C2^2xD5)480,600
C12.49(C22×D5) = C15⋊2- 1+4φ: C22×D5/D5C22 ⊆ Aut C122408-C12.49(C2^2xD5)480,1096
C12.50(C22×D5) = D5×D42S3φ: C22×D5/D5C22 ⊆ Aut C121208-C12.50(C2^2xD5)480,1098
C12.51(C22×D5) = S3×D42D5φ: C22×D5/D5C22 ⊆ Aut C121208-C12.51(C2^2xD5)480,1099
C12.52(C22×D5) = D30.C23φ: C22×D5/D5C22 ⊆ Aut C121208+C12.52(C2^2xD5)480,1100
C12.53(C22×D5) = D2013D6φ: C22×D5/D5C22 ⊆ Aut C121208-C12.53(C2^2xD5)480,1101
C12.54(C22×D5) = D2014D6φ: C22×D5/D5C22 ⊆ Aut C121208+C12.54(C2^2xD5)480,1102
C12.55(C22×D5) = D1214D10φ: C22×D5/D5C22 ⊆ Aut C121208+C12.55(C2^2xD5)480,1103
C12.56(C22×D5) = D20.29D6φ: C22×D5/D5C22 ⊆ Aut C122408-C12.56(C2^2xD5)480,1104
C12.57(C22×D5) = C30.33C24φ: C22×D5/D5C22 ⊆ Aut C122408+C12.57(C2^2xD5)480,1105
C12.58(C22×D5) = D12.29D10φ: C22×D5/D5C22 ⊆ Aut C122408-C12.58(C2^2xD5)480,1106
C12.59(C22×D5) = S3×Q8×D5φ: C22×D5/D5C22 ⊆ Aut C121208-C12.59(C2^2xD5)480,1107
C12.60(C22×D5) = D5×Q83S3φ: C22×D5/D5C22 ⊆ Aut C121208+C12.60(C2^2xD5)480,1108
C12.61(C22×D5) = S3×Q82D5φ: C22×D5/D5C22 ⊆ Aut C121208+C12.61(C2^2xD5)480,1109
C12.62(C22×D5) = D2016D6φ: C22×D5/D5C22 ⊆ Aut C121208-C12.62(C2^2xD5)480,1110
C12.63(C22×D5) = D2017D6φ: C22×D5/D5C22 ⊆ Aut C121208+C12.63(C2^2xD5)480,1111
C12.64(C22×D5) = S3×C40⋊C2φ: C22×D5/C10C22 ⊆ Aut C121204C12.64(C2^2xD5)480,327
C12.65(C22×D5) = S3×D40φ: C22×D5/C10C22 ⊆ Aut C121204+C12.65(C2^2xD5)480,328
C12.66(C22×D5) = C401D6φ: C22×D5/C10C22 ⊆ Aut C121204+C12.66(C2^2xD5)480,329
C12.67(C22×D5) = D40⋊S3φ: C22×D5/C10C22 ⊆ Aut C121204C12.67(C2^2xD5)480,330
C12.68(C22×D5) = C4014D6φ: C22×D5/C10C22 ⊆ Aut C121204C12.68(C2^2xD5)480,331
C12.69(C22×D5) = C405D6φ: C22×D5/C10C22 ⊆ Aut C121204C12.69(C2^2xD5)480,332
C12.70(C22×D5) = D246D5φ: C22×D5/C10C22 ⊆ Aut C121204C12.70(C2^2xD5)480,333
C12.71(C22×D5) = C408D6φ: C22×D5/C10C22 ⊆ Aut C121204C12.71(C2^2xD5)480,334
C12.72(C22×D5) = S3×Dic20φ: C22×D5/C10C22 ⊆ Aut C122404-C12.72(C2^2xD5)480,338
C12.73(C22×D5) = Dic20⋊S3φ: C22×D5/C10C22 ⊆ Aut C122404C12.73(C2^2xD5)480,339
C12.74(C22×D5) = Dic10.D6φ: C22×D5/C10C22 ⊆ Aut C122404C12.74(C2^2xD5)480,340
C12.75(C22×D5) = D6.1D20φ: C22×D5/C10C22 ⊆ Aut C122404C12.75(C2^2xD5)480,348
C12.76(C22×D5) = D407S3φ: C22×D5/C10C22 ⊆ Aut C122404-C12.76(C2^2xD5)480,349
C12.77(C22×D5) = C40.2D6φ: C22×D5/C10C22 ⊆ Aut C122404-C12.77(C2^2xD5)480,350
C12.78(C22×D5) = D1205C2φ: C22×D5/C10C22 ⊆ Aut C122404+C12.78(C2^2xD5)480,351
C12.79(C22×D5) = Dic6.D10φ: C22×D5/C10C22 ⊆ Aut C122404C12.79(C2^2xD5)480,352
C12.80(C22×D5) = D405S3φ: C22×D5/C10C22 ⊆ Aut C122404C12.80(C2^2xD5)480,353
C12.81(C22×D5) = D30.3D4φ: C22×D5/C10C22 ⊆ Aut C122404C12.81(C2^2xD5)480,354
C12.82(C22×D5) = D245D5φ: C22×D5/C10C22 ⊆ Aut C122404C12.82(C2^2xD5)480,355
C12.83(C22×D5) = D30.4D4φ: C22×D5/C10C22 ⊆ Aut C122404C12.83(C2^2xD5)480,356
C12.84(C22×D5) = C2×C15⋊D8φ: C22×D5/C10C22 ⊆ Aut C12240C12.84(C2^2xD5)480,372
C12.85(C22×D5) = D20.34D6φ: C22×D5/C10C22 ⊆ Aut C122404C12.85(C2^2xD5)480,373
C12.86(C22×D5) = C60.36D4φ: C22×D5/C10C22 ⊆ Aut C121204C12.86(C2^2xD5)480,374
C12.87(C22×D5) = D2021D6φ: C22×D5/C10C22 ⊆ Aut C121204C12.87(C2^2xD5)480,375
C12.88(C22×D5) = C2×C3⋊D40φ: C22×D5/C10C22 ⊆ Aut C12240C12.88(C2^2xD5)480,376
C12.89(C22×D5) = D2019D6φ: C22×D5/C10C22 ⊆ Aut C121204+C12.89(C2^2xD5)480,377
C12.90(C22×D5) = C2×C30.D4φ: C22×D5/C10C22 ⊆ Aut C12240C12.90(C2^2xD5)480,382
C12.91(C22×D5) = D20.37D6φ: C22×D5/C10C22 ⊆ Aut C122404C12.91(C2^2xD5)480,383
C12.92(C22×D5) = C2×C20.D6φ: C22×D5/C10C22 ⊆ Aut C12240C12.92(C2^2xD5)480,384
C12.93(C22×D5) = D12.37D10φ: C22×D5/C10C22 ⊆ Aut C122404C12.93(C2^2xD5)480,385
C12.94(C22×D5) = C2×C6.D20φ: C22×D5/C10C22 ⊆ Aut C12240C12.94(C2^2xD5)480,386
C12.95(C22×D5) = D20.31D6φ: C22×D5/C10C22 ⊆ Aut C122404C12.95(C2^2xD5)480,387
C12.96(C22×D5) = D6030C22φ: C22×D5/C10C22 ⊆ Aut C121204C12.96(C2^2xD5)480,388
C12.97(C22×D5) = C60.63D4φ: C22×D5/C10C22 ⊆ Aut C122404-C12.97(C2^2xD5)480,389
C12.98(C22×D5) = C2×C15⋊SD16φ: C22×D5/C10C22 ⊆ Aut C12240C12.98(C2^2xD5)480,390
C12.99(C22×D5) = C12.D20φ: C22×D5/C10C22 ⊆ Aut C122404C12.99(C2^2xD5)480,391
C12.100(C22×D5) = C2×C15⋊Q16φ: C22×D5/C10C22 ⊆ Aut C12480C12.100(C2^2xD5)480,394
C12.101(C22×D5) = C2×C3⋊Dic20φ: C22×D5/C10C22 ⊆ Aut C12480C12.101(C2^2xD5)480,395
C12.102(C22×D5) = D8×D15φ: C22×D5/C10C22 ⊆ Aut C121204+C12.102(C2^2xD5)480,875
C12.103(C22×D5) = D8⋊D15φ: C22×D5/C10C22 ⊆ Aut C121204C12.103(C2^2xD5)480,876
C12.104(C22×D5) = D83D15φ: C22×D5/C10C22 ⊆ Aut C122404-C12.104(C2^2xD5)480,877
C12.105(C22×D5) = SD16×D15φ: C22×D5/C10C22 ⊆ Aut C121204C12.105(C2^2xD5)480,878
C12.106(C22×D5) = Q83D30φ: C22×D5/C10C22 ⊆ Aut C121204+C12.106(C2^2xD5)480,879
C12.107(C22×D5) = SD16⋊D15φ: C22×D5/C10C22 ⊆ Aut C122404-C12.107(C2^2xD5)480,880
C12.108(C22×D5) = D4.5D30φ: C22×D5/C10C22 ⊆ Aut C122404C12.108(C2^2xD5)480,881
C12.109(C22×D5) = Q16×D15φ: C22×D5/C10C22 ⊆ Aut C122404-C12.109(C2^2xD5)480,882
C12.110(C22×D5) = Q16⋊D15φ: C22×D5/C10C22 ⊆ Aut C122404C12.110(C2^2xD5)480,883
C12.111(C22×D5) = D1208C2φ: C22×D5/C10C22 ⊆ Aut C122404+C12.111(C2^2xD5)480,884
C12.112(C22×D5) = C2×D4⋊D15φ: C22×D5/C10C22 ⊆ Aut C12240C12.112(C2^2xD5)480,896
C12.113(C22×D5) = D4.D30φ: C22×D5/C10C22 ⊆ Aut C121204C12.113(C2^2xD5)480,897
C12.114(C22×D5) = C2×D4.D15φ: C22×D5/C10C22 ⊆ Aut C12240C12.114(C2^2xD5)480,898
C12.115(C22×D5) = C2×Q82D15φ: C22×D5/C10C22 ⊆ Aut C12240C12.115(C2^2xD5)480,906
C12.116(C22×D5) = Q8.11D30φ: C22×D5/C10C22 ⊆ Aut C122404C12.116(C2^2xD5)480,907
C12.117(C22×D5) = C2×C157Q16φ: C22×D5/C10C22 ⊆ Aut C12480C12.117(C2^2xD5)480,908
C12.118(C22×D5) = D4⋊D30φ: C22×D5/C10C22 ⊆ Aut C121204+C12.118(C2^2xD5)480,914
C12.119(C22×D5) = D4.8D30φ: C22×D5/C10C22 ⊆ Aut C122404C12.119(C2^2xD5)480,915
C12.120(C22×D5) = D4.9D30φ: C22×D5/C10C22 ⊆ Aut C122404-C12.120(C2^2xD5)480,916
C12.121(C22×D5) = C2×D205S3φ: C22×D5/C10C22 ⊆ Aut C12240C12.121(C2^2xD5)480,1074
C12.122(C22×D5) = C2×D20⋊S3φ: C22×D5/C10C22 ⊆ Aut C12240C12.122(C2^2xD5)480,1075
C12.123(C22×D5) = D20.39D6φ: C22×D5/C10C22 ⊆ Aut C122404-C12.123(C2^2xD5)480,1077
C12.124(C22×D5) = C2×S3×Dic10φ: C22×D5/C10C22 ⊆ Aut C12240C12.124(C2^2xD5)480,1078
C12.125(C22×D5) = C2×D12⋊D5φ: C22×D5/C10C22 ⊆ Aut C12240C12.125(C2^2xD5)480,1079
C12.126(C22×D5) = C30.C24φ: C22×D5/C10C22 ⊆ Aut C122404C12.126(C2^2xD5)480,1080
C12.127(C22×D5) = C2×D60⋊C2φ: C22×D5/C10C22 ⊆ Aut C12240C12.127(C2^2xD5)480,1081
C12.128(C22×D5) = C2×D15⋊Q8φ: C22×D5/C10C22 ⊆ Aut C12240C12.128(C2^2xD5)480,1082
C12.129(C22×D5) = D2025D6φ: C22×D5/C10C22 ⊆ Aut C121204C12.129(C2^2xD5)480,1093
C12.130(C22×D5) = D2029D6φ: C22×D5/C10C22 ⊆ Aut C121204+C12.130(C2^2xD5)480,1095
C12.131(C22×D5) = C2×D42D15φ: C22×D5/C10C22 ⊆ Aut C12240C12.131(C2^2xD5)480,1170
C12.132(C22×D5) = D46D30φ: C22×D5/C10C22 ⊆ Aut C121204C12.132(C2^2xD5)480,1171
C12.133(C22×D5) = C2×Q8×D15φ: C22×D5/C10C22 ⊆ Aut C12240C12.133(C2^2xD5)480,1172
C12.134(C22×D5) = C2×Q83D15φ: C22×D5/C10C22 ⊆ Aut C12240C12.134(C2^2xD5)480,1173
C12.135(C22×D5) = Q8.15D30φ: C22×D5/C10C22 ⊆ Aut C122404C12.135(C2^2xD5)480,1174
C12.136(C22×D5) = C4○D4×D15φ: C22×D5/C10C22 ⊆ Aut C121204C12.136(C2^2xD5)480,1175
C12.137(C22×D5) = D48D30φ: C22×D5/C10C22 ⊆ Aut C121204+C12.137(C2^2xD5)480,1176
C12.138(C22×D5) = D4.10D30φ: C22×D5/C10C22 ⊆ Aut C122404-C12.138(C2^2xD5)480,1177
C12.139(C22×D5) = D5×C24⋊C2φ: C22×D5/D10C2 ⊆ Aut C121204C12.139(C2^2xD5)480,323
C12.140(C22×D5) = D5×D24φ: C22×D5/D10C2 ⊆ Aut C121204+C12.140(C2^2xD5)480,324
C12.141(C22×D5) = C24⋊D10φ: C22×D5/D10C2 ⊆ Aut C121204+C12.141(C2^2xD5)480,325
C12.142(C22×D5) = D24⋊D5φ: C22×D5/D10C2 ⊆ Aut C121204C12.142(C2^2xD5)480,326
C12.143(C22×D5) = D5×Dic12φ: C22×D5/D10C2 ⊆ Aut C122404-C12.143(C2^2xD5)480,335
C12.144(C22×D5) = Dic60⋊C2φ: C22×D5/D10C2 ⊆ Aut C122404-C12.144(C2^2xD5)480,336
C12.145(C22×D5) = C24.2D10φ: C22×D5/D10C2 ⊆ Aut C122404C12.145(C2^2xD5)480,337
C12.146(C22×D5) = C40.31D6φ: C22×D5/D10C2 ⊆ Aut C122404C12.146(C2^2xD5)480,345
C12.147(C22×D5) = D247D5φ: C22×D5/D10C2 ⊆ Aut C122404-C12.147(C2^2xD5)480,346
C12.148(C22×D5) = D120⋊C2φ: C22×D5/D10C2 ⊆ Aut C122404+C12.148(C2^2xD5)480,347
C12.149(C22×D5) = C2×C5⋊D24φ: C22×D5/D10C2 ⊆ Aut C12240C12.149(C2^2xD5)480,378
C12.150(C22×D5) = C20.60D12φ: C22×D5/D10C2 ⊆ Aut C122404C12.150(C2^2xD5)480,379
C12.151(C22×D5) = D6036C22φ: C22×D5/D10C2 ⊆ Aut C121204C12.151(C2^2xD5)480,380
C12.152(C22×D5) = C60.38D4φ: C22×D5/D10C2 ⊆ Aut C121204+C12.152(C2^2xD5)480,381
C12.153(C22×D5) = C2×D12.D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.153(C2^2xD5)480,392
C12.154(C22×D5) = C2×Dic6⋊D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.154(C2^2xD5)480,393
C12.155(C22×D5) = C2×C5⋊Dic12φ: C22×D5/D10C2 ⊆ Aut C12480C12.155(C2^2xD5)480,396
C12.156(C22×D5) = C20.D12φ: C22×D5/D10C2 ⊆ Aut C122404C12.156(C2^2xD5)480,397
C12.157(C22×D5) = D12.33D10φ: C22×D5/D10C2 ⊆ Aut C122404-C12.157(C2^2xD5)480,398
C12.158(C22×D5) = C2×D5×Dic6φ: C22×D5/D10C2 ⊆ Aut C12240C12.158(C2^2xD5)480,1073
C12.159(C22×D5) = D20.38D6φ: C22×D5/D10C2 ⊆ Aut C122404C12.159(C2^2xD5)480,1076
C12.160(C22×D5) = C2×D125D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.160(C2^2xD5)480,1084
C12.161(C22×D5) = C2×C12.28D10φ: C22×D5/D10C2 ⊆ Aut C12240C12.161(C2^2xD5)480,1085
C12.162(C22×D5) = D2026D6φ: C22×D5/D10C2 ⊆ Aut C121204C12.162(C2^2xD5)480,1094
C12.163(C22×D5) = S3×C8×D5φ: C22×D5/D10C2 ⊆ Aut C121204C12.163(C2^2xD5)480,319
C12.164(C22×D5) = D5×C8⋊S3φ: C22×D5/D10C2 ⊆ Aut C121204C12.164(C2^2xD5)480,320
C12.165(C22×D5) = S3×C8⋊D5φ: C22×D5/D10C2 ⊆ Aut C121204C12.165(C2^2xD5)480,321
C12.166(C22×D5) = C40⋊D6φ: C22×D5/D10C2 ⊆ Aut C121204C12.166(C2^2xD5)480,322
C12.167(C22×D5) = C40.54D6φ: C22×D5/D10C2 ⊆ Aut C122404C12.167(C2^2xD5)480,341
C12.168(C22×D5) = C40.34D6φ: C22×D5/D10C2 ⊆ Aut C122404C12.168(C2^2xD5)480,342
C12.169(C22×D5) = C40.55D6φ: C22×D5/D10C2 ⊆ Aut C122404C12.169(C2^2xD5)480,343
C12.170(C22×D5) = C40.35D6φ: C22×D5/D10C2 ⊆ Aut C122404C12.170(C2^2xD5)480,344
C12.171(C22×D5) = C2×D5×C3⋊C8φ: C22×D5/D10C2 ⊆ Aut C12240C12.171(C2^2xD5)480,357
C12.172(C22×D5) = D5×C4.Dic3φ: C22×D5/D10C2 ⊆ Aut C121204C12.172(C2^2xD5)480,358
C12.173(C22×D5) = D20.3Dic3φ: C22×D5/D10C2 ⊆ Aut C122404C12.173(C2^2xD5)480,359
C12.174(C22×D5) = D20.2Dic3φ: C22×D5/D10C2 ⊆ Aut C122404C12.174(C2^2xD5)480,360
C12.175(C22×D5) = C2×S3×C52C8φ: C22×D5/D10C2 ⊆ Aut C12240C12.175(C2^2xD5)480,361
C12.176(C22×D5) = D12.2Dic5φ: C22×D5/D10C2 ⊆ Aut C122404C12.176(C2^2xD5)480,362
C12.177(C22×D5) = S3×C4.Dic5φ: C22×D5/D10C2 ⊆ Aut C121204C12.177(C2^2xD5)480,363
C12.178(C22×D5) = D12.Dic5φ: C22×D5/D10C2 ⊆ Aut C122404C12.178(C2^2xD5)480,364
C12.179(C22×D5) = C2×D152C8φ: C22×D5/D10C2 ⊆ Aut C12240C12.179(C2^2xD5)480,365
C12.180(C22×D5) = D60.5C4φ: C22×D5/D10C2 ⊆ Aut C122404C12.180(C2^2xD5)480,366
C12.181(C22×D5) = D60.4C4φ: C22×D5/D10C2 ⊆ Aut C122404C12.181(C2^2xD5)480,367
C12.182(C22×D5) = D154M4(2)φ: C22×D5/D10C2 ⊆ Aut C121204C12.182(C2^2xD5)480,368
C12.183(C22×D5) = C2×C20.32D6φ: C22×D5/D10C2 ⊆ Aut C12240C12.183(C2^2xD5)480,369
C12.184(C22×D5) = C2×D6.Dic5φ: C22×D5/D10C2 ⊆ Aut C12240C12.184(C2^2xD5)480,370
C12.185(C22×D5) = C2×D30.5C4φ: C22×D5/D10C2 ⊆ Aut C12240C12.185(C2^2xD5)480,371
C12.186(C22×D5) = C2×D6.D10φ: C22×D5/D10C2 ⊆ Aut C12240C12.186(C2^2xD5)480,1083
C12.187(C22×D5) = D5×C4○D12φ: C22×D5/D10C2 ⊆ Aut C121204C12.187(C2^2xD5)480,1090
C12.188(C22×D5) = S3×C4○D20φ: C22×D5/D10C2 ⊆ Aut C121204C12.188(C2^2xD5)480,1091
C12.189(C22×D5) = D2024D6φ: C22×D5/D10C2 ⊆ Aut C121204C12.189(C2^2xD5)480,1092
C12.190(C22×D5) = C3×D5×D8φ: C22×D5/D10C2 ⊆ Aut C121204C12.190(C2^2xD5)480,703
C12.191(C22×D5) = C3×D8⋊D5φ: C22×D5/D10C2 ⊆ Aut C121204C12.191(C2^2xD5)480,704
C12.192(C22×D5) = C3×D83D5φ: C22×D5/D10C2 ⊆ Aut C122404C12.192(C2^2xD5)480,705
C12.193(C22×D5) = C3×D5×SD16φ: C22×D5/D10C2 ⊆ Aut C121204C12.193(C2^2xD5)480,706
C12.194(C22×D5) = C3×D40⋊C2φ: C22×D5/D10C2 ⊆ Aut C121204C12.194(C2^2xD5)480,707
C12.195(C22×D5) = C3×SD16⋊D5φ: C22×D5/D10C2 ⊆ Aut C122404C12.195(C2^2xD5)480,708
C12.196(C22×D5) = C3×SD163D5φ: C22×D5/D10C2 ⊆ Aut C122404C12.196(C2^2xD5)480,709
C12.197(C22×D5) = C3×D5×Q16φ: C22×D5/D10C2 ⊆ Aut C122404C12.197(C2^2xD5)480,710
C12.198(C22×D5) = C3×Q16⋊D5φ: C22×D5/D10C2 ⊆ Aut C122404C12.198(C2^2xD5)480,711
C12.199(C22×D5) = C3×Q8.D10φ: C22×D5/D10C2 ⊆ Aut C122404C12.199(C2^2xD5)480,712
C12.200(C22×D5) = C6×D4⋊D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.200(C2^2xD5)480,724
C12.201(C22×D5) = C3×D4.D10φ: C22×D5/D10C2 ⊆ Aut C121204C12.201(C2^2xD5)480,725
C12.202(C22×D5) = C6×D4.D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.202(C2^2xD5)480,726
C12.203(C22×D5) = C6×Q8⋊D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.203(C2^2xD5)480,734
C12.204(C22×D5) = C3×C20.C23φ: C22×D5/D10C2 ⊆ Aut C122404C12.204(C2^2xD5)480,735
C12.205(C22×D5) = C6×C5⋊Q16φ: C22×D5/D10C2 ⊆ Aut C12480C12.205(C2^2xD5)480,736
C12.206(C22×D5) = C3×D4⋊D10φ: C22×D5/D10C2 ⊆ Aut C121204C12.206(C2^2xD5)480,742
C12.207(C22×D5) = C3×D4.8D10φ: C22×D5/D10C2 ⊆ Aut C122404C12.207(C2^2xD5)480,743
C12.208(C22×D5) = C3×D4.9D10φ: C22×D5/D10C2 ⊆ Aut C122404C12.208(C2^2xD5)480,744
C12.209(C22×D5) = C6×D42D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.209(C2^2xD5)480,1140
C12.210(C22×D5) = C3×D46D10φ: C22×D5/D10C2 ⊆ Aut C121204C12.210(C2^2xD5)480,1141
C12.211(C22×D5) = C6×Q8×D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.211(C2^2xD5)480,1142
C12.212(C22×D5) = C6×Q82D5φ: C22×D5/D10C2 ⊆ Aut C12240C12.212(C2^2xD5)480,1143
C12.213(C22×D5) = C3×Q8.10D10φ: C22×D5/D10C2 ⊆ Aut C122404C12.213(C2^2xD5)480,1144
C12.214(C22×D5) = C3×D5×C4○D4φ: C22×D5/D10C2 ⊆ Aut C121204C12.214(C2^2xD5)480,1145
C12.215(C22×D5) = C3×D48D10φ: C22×D5/D10C2 ⊆ Aut C121204C12.215(C2^2xD5)480,1146
C12.216(C22×D5) = C3×D4.10D10φ: C22×D5/D10C2 ⊆ Aut C122404C12.216(C2^2xD5)480,1147
C12.217(C22×D5) = C2×C24⋊D5φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.217(C2^2xD5)480,867
C12.218(C22×D5) = C2×D120φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.218(C2^2xD5)480,868
C12.219(C22×D5) = C40.69D6φ: C22×D5/C2×C10C2 ⊆ Aut C122402C12.219(C2^2xD5)480,869
C12.220(C22×D5) = C2×Dic60φ: C22×D5/C2×C10C2 ⊆ Aut C12480C12.220(C2^2xD5)480,870
C12.221(C22×D5) = C8⋊D30φ: C22×D5/C2×C10C2 ⊆ Aut C121204+C12.221(C2^2xD5)480,873
C12.222(C22×D5) = C8.D30φ: C22×D5/C2×C10C2 ⊆ Aut C122404-C12.222(C2^2xD5)480,874
C12.223(C22×D5) = C22×Dic30φ: C22×D5/C2×C10C2 ⊆ Aut C12480C12.223(C2^2xD5)480,1165
C12.224(C22×D5) = C2×C8×D15φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.224(C2^2xD5)480,864
C12.225(C22×D5) = C2×C40⋊S3φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.225(C2^2xD5)480,865
C12.226(C22×D5) = D60.6C4φ: C22×D5/C2×C10C2 ⊆ Aut C122402C12.226(C2^2xD5)480,866
C12.227(C22×D5) = M4(2)×D15φ: C22×D5/C2×C10C2 ⊆ Aut C121204C12.227(C2^2xD5)480,871
C12.228(C22×D5) = D60.3C4φ: C22×D5/C2×C10C2 ⊆ Aut C122404C12.228(C2^2xD5)480,872
C12.229(C22×D5) = C22×C153C8φ: C22×D5/C2×C10C2 ⊆ Aut C12480C12.229(C2^2xD5)480,885
C12.230(C22×D5) = C2×C60.7C4φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.230(C2^2xD5)480,886
C12.231(C22×D5) = D4.Dic15φ: C22×D5/C2×C10C2 ⊆ Aut C122404C12.231(C2^2xD5)480,913
C12.232(C22×D5) = C2×D6011C2φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.232(C2^2xD5)480,1168
C12.233(C22×D5) = C6×C40⋊C2φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.233(C2^2xD5)480,695
C12.234(C22×D5) = C6×D40φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.234(C2^2xD5)480,696
C12.235(C22×D5) = C3×D407C2φ: C22×D5/C2×C10C2 ⊆ Aut C122402C12.235(C2^2xD5)480,697
C12.236(C22×D5) = C6×Dic20φ: C22×D5/C2×C10C2 ⊆ Aut C12480C12.236(C2^2xD5)480,698
C12.237(C22×D5) = C3×C8⋊D10φ: C22×D5/C2×C10C2 ⊆ Aut C121204C12.237(C2^2xD5)480,701
C12.238(C22×D5) = C3×C8.D10φ: C22×D5/C2×C10C2 ⊆ Aut C122404C12.238(C2^2xD5)480,702
C12.239(C22×D5) = C2×C6×Dic10φ: C22×D5/C2×C10C2 ⊆ Aut C12480C12.239(C2^2xD5)480,1135
C12.240(C22×D5) = C6×C4○D20φ: C22×D5/C2×C10C2 ⊆ Aut C12240C12.240(C2^2xD5)480,1138
C12.241(C22×D5) = D5×C2×C24central extension (φ=1)240C12.241(C2^2xD5)480,692
C12.242(C22×D5) = C6×C8⋊D5central extension (φ=1)240C12.242(C2^2xD5)480,693
C12.243(C22×D5) = C3×D20.3C4central extension (φ=1)2402C12.243(C2^2xD5)480,694
C12.244(C22×D5) = C3×D5×M4(2)central extension (φ=1)1204C12.244(C2^2xD5)480,699
C12.245(C22×D5) = C3×D20.2C4central extension (φ=1)2404C12.245(C2^2xD5)480,700
C12.246(C22×D5) = C2×C6×C52C8central extension (φ=1)480C12.246(C2^2xD5)480,713
C12.247(C22×D5) = C6×C4.Dic5central extension (φ=1)240C12.247(C2^2xD5)480,714
C12.248(C22×D5) = C3×D4.Dic5central extension (φ=1)2404C12.248(C2^2xD5)480,741

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