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Extensions 1→N→G→Q→1 with N=C30 and Q=C2×D4

Direct product G=N×Q with N=C30 and Q=C2×D4
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C30 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C30⋊1(C2×D4) = C2×D5×D12φ: C2×D4/C4 → C22 ⊆ Aut C30120C30:1(C2xD4)480,1087
C30⋊2(C2×D4) = C2×S3×D20φ: C2×D4/C4 → C22 ⊆ Aut C30120C30:2(C2xD4)480,1088
C30⋊3(C2×D4) = C2×C20⋊D6φ: C2×D4/C4 → C22 ⊆ Aut C30120C30:3(C2xD4)480,1089
C30⋊4(C2×D4) = C22×C15⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30:4(C2xD4)480,1118
C30⋊5(C2×D4) = C22×C3⋊D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30:5(C2xD4)480,1119
C30⋊6(C2×D4) = C22×C5⋊D12φ: C2×D4/C22 → C22 ⊆ Aut C30240C30:6(C2xD4)480,1120
C30⋊7(C2×D4) = C2×D5×C3⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30:7(C2xD4)480,1122
C30⋊8(C2×D4) = C2×S3×C5⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30:8(C2xD4)480,1123
C30⋊9(C2×D4) = C2×D10⋊D6φ: C2×D4/C22 → C22 ⊆ Aut C30120C30:9(C2xD4)480,1124
C30⋊10(C2×D4) = C22×D60φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30:10(C2xD4)480,1167
C30⋊11(C2×D4) = C2×C6×D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30:11(C2xD4)480,1137
C30⋊12(C2×D4) = C2×C10×D12φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30:12(C2xD4)480,1152
C30⋊13(C2×D4) = C2×D4×D15φ: C2×D4/D4 → C2 ⊆ Aut C30120C30:13(C2xD4)480,1169
C30⋊14(C2×D4) = C6×D4×D5φ: C2×D4/D4 → C2 ⊆ Aut C30120C30:14(C2xD4)480,1139
C30⋊15(C2×D4) = S3×D4×C10φ: C2×D4/D4 → C2 ⊆ Aut C30120C30:15(C2xD4)480,1154
C30⋊16(C2×D4) = C22×C15⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30:16(C2xD4)480,1179
C30⋊17(C2×D4) = C2×C6×C5⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30:17(C2xD4)480,1149
C30⋊18(C2×D4) = C2×C10×C3⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30:18(C2xD4)480,1164

Non-split extensions G=N.Q with N=C30 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C30.1(C2×D4) = D5×C24⋊C2φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.1(C2xD4)480,323
C30.2(C2×D4) = D5×D24φ: C2×D4/C4 → C22 ⊆ Aut C301204+C30.2(C2xD4)480,324
C30.3(C2×D4) = C24⋊D10φ: C2×D4/C4 → C22 ⊆ Aut C301204+C30.3(C2xD4)480,325
C30.4(C2×D4) = D24⋊D5φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.4(C2xD4)480,326
C30.5(C2×D4) = S3×C40⋊C2φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.5(C2xD4)480,327
C30.6(C2×D4) = S3×D40φ: C2×D4/C4 → C22 ⊆ Aut C301204+C30.6(C2xD4)480,328
C30.7(C2×D4) = C40⋊1D6φ: C2×D4/C4 → C22 ⊆ Aut C301204+C30.7(C2xD4)480,329
C30.8(C2×D4) = D40⋊S3φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.8(C2xD4)480,330
C30.9(C2×D4) = C40⋊14D6φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.9(C2xD4)480,331
C30.10(C2×D4) = C40⋊5D6φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.10(C2xD4)480,332
C30.11(C2×D4) = D24⋊6D5φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.11(C2xD4)480,333
C30.12(C2×D4) = C40⋊8D6φ: C2×D4/C4 → C22 ⊆ Aut C301204C30.12(C2xD4)480,334
C30.13(C2×D4) = D5×Dic12φ: C2×D4/C4 → C22 ⊆ Aut C302404-C30.13(C2xD4)480,335
C30.14(C2×D4) = Dic60⋊C2φ: C2×D4/C4 → C22 ⊆ Aut C302404-C30.14(C2xD4)480,336
C30.15(C2×D4) = C24.2D10φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.15(C2xD4)480,337
C30.16(C2×D4) = S3×Dic20φ: C2×D4/C4 → C22 ⊆ Aut C302404-C30.16(C2xD4)480,338
C30.17(C2×D4) = Dic20⋊S3φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.17(C2xD4)480,339
C30.18(C2×D4) = Dic10.D6φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.18(C2xD4)480,340
C30.19(C2×D4) = C40.31D6φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.19(C2xD4)480,345
C30.20(C2×D4) = D24⋊7D5φ: C2×D4/C4 → C22 ⊆ Aut C302404-C30.20(C2xD4)480,346
C30.21(C2×D4) = D120⋊C2φ: C2×D4/C4 → C22 ⊆ Aut C302404+C30.21(C2xD4)480,347
C30.22(C2×D4) = D6.1D20φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.22(C2xD4)480,348
C30.23(C2×D4) = D40⋊7S3φ: C2×D4/C4 → C22 ⊆ Aut C302404-C30.23(C2xD4)480,349
C30.24(C2×D4) = C40.2D6φ: C2×D4/C4 → C22 ⊆ Aut C302404-C30.24(C2xD4)480,350
C30.25(C2×D4) = D120⋊5C2φ: C2×D4/C4 → C22 ⊆ Aut C302404+C30.25(C2xD4)480,351
C30.26(C2×D4) = Dic6.D10φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.26(C2xD4)480,352
C30.27(C2×D4) = D40⋊5S3φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.27(C2xD4)480,353
C30.28(C2×D4) = D30.3D4φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.28(C2xD4)480,354
C30.29(C2×D4) = D24⋊5D5φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.29(C2xD4)480,355
C30.30(C2×D4) = D30.4D4φ: C2×D4/C4 → C22 ⊆ Aut C302404C30.30(C2xD4)480,356
C30.31(C2×D4) = Dic5.8D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.31(C2xD4)480,426
C30.32(C2×D4) = Dic3.D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.32(C2xD4)480,429
C30.33(C2×D4) = D30.D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.33(C2xD4)480,432
C30.34(C2×D4) = Dic3⋊4D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.34(C2xD4)480,471
C30.35(C2×D4) = Dic5⋊4D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.35(C2xD4)480,481
C30.36(C2×D4) = Dic3⋊D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.36(C2xD4)480,485
C30.37(C2×D4) = D5×C4⋊Dic3φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.37(C2xD4)480,488
C30.38(C2×D4) = D10.16D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.38(C2xD4)480,489
C30.39(C2×D4) = D10.17D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.39(C2xD4)480,490
C30.40(C2×D4) = Dic5×D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.40(C2xD4)480,491
C30.41(C2×D4) = Dic5⋊D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.41(C2xD4)480,492
C30.42(C2×D4) = D6⋊2Dic10φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.42(C2xD4)480,493
C30.43(C2×D4) = D60⋊17C4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.43(C2xD4)480,494
C30.44(C2×D4) = D30⋊2Q8φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.44(C2xD4)480,495
C30.45(C2×D4) = D10⋊2Dic6φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.45(C2xD4)480,498
C30.46(C2×D4) = Dic3×D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.46(C2xD4)480,501
C30.47(C2×D4) = S3×C4⋊Dic5φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.47(C2xD4)480,502
C30.48(C2×D4) = D6.D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.48(C2xD4)480,503
C30.49(C2×D4) = D60⋊14C4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.49(C2xD4)480,504
C30.50(C2×D4) = D30⋊4Q8φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.50(C2xD4)480,505
C30.51(C2×D4) = Dic15.D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.51(C2xD4)480,506
C30.52(C2×D4) = D20⋊8Dic3φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.52(C2xD4)480,510
C30.53(C2×D4) = Dic15⋊8D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.53(C2xD4)480,511
C30.54(C2×D4) = D6⋊4Dic10φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.54(C2xD4)480,512
C30.55(C2×D4) = D30.2Q8φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.55(C2xD4)480,513
C30.56(C2×D4) = D30.7D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.56(C2xD4)480,514
C30.57(C2×D4) = Dic15⋊9D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.57(C2xD4)480,518
C30.58(C2×D4) = D10⋊D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.58(C2xD4)480,524
C30.59(C2×D4) = C60⋊D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.59(C2xD4)480,525
C30.60(C2×D4) = C12⋊7D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.60(C2xD4)480,526
C30.61(C2×D4) = C20⋊D12φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.61(C2xD4)480,527
C30.62(C2×D4) = Dic15⋊2D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.62(C2xD4)480,529
C30.63(C2×D4) = D6.9D20φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.63(C2xD4)480,533
C30.64(C2×D4) = Dic15.31D4φ: C2×D4/C4 → C22 ⊆ Aut C30240C30.64(C2xD4)480,540
C30.65(C2×D4) = C60⋊Q8φ: C2×D4/C4 → C22 ⊆ Aut C30480C30.65(C2xD4)480,544
C30.66(C2×D4) = C20⋊4Dic6φ: C2×D4/C4 → C22 ⊆ Aut C30480C30.66(C2xD4)480,545
C30.67(C2×D4) = C20⋊Dic6φ: C2×D4/C4 → C22 ⊆ Aut C30480C30.67(C2xD4)480,546
C30.68(C2×D4) = D5×D6⋊C4φ: C2×D4/C4 → C22 ⊆ Aut C30120C30.68(C2xD4)480,547
C30.69(C2×D4) = D30⋊4D4φ: C2×D4/C4 → C22 ⊆ Aut C30120C30.69(C2xD4)480,551
C30.70(C2×D4) = D30⋊5D4φ: C2×D4/C4 → C22 ⊆ Aut C30120C30.70(C2xD4)480,552
C30.71(C2×D4) = C2×C15⋊D8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.71(C2xD4)480,372
C30.72(C2×D4) = D20.34D6φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.72(C2xD4)480,373
C30.73(C2×D4) = C60.36D4φ: C2×D4/C22 → C22 ⊆ Aut C301204C30.73(C2xD4)480,374
C30.74(C2×D4) = D20⋊21D6φ: C2×D4/C22 → C22 ⊆ Aut C301204C30.74(C2xD4)480,375
C30.75(C2×D4) = C2×C3⋊D40φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.75(C2xD4)480,376
C30.76(C2×D4) = D20⋊19D6φ: C2×D4/C22 → C22 ⊆ Aut C301204+C30.76(C2xD4)480,377
C30.77(C2×D4) = C2×C5⋊D24φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.77(C2xD4)480,378
C30.78(C2×D4) = C20.60D12φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.78(C2xD4)480,379
C30.79(C2×D4) = D60⋊36C22φ: C2×D4/C22 → C22 ⊆ Aut C301204C30.79(C2xD4)480,380
C30.80(C2×D4) = C60.38D4φ: C2×D4/C22 → C22 ⊆ Aut C301204+C30.80(C2xD4)480,381
C30.81(C2×D4) = C2×C30.D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.81(C2xD4)480,382
C30.82(C2×D4) = D20.37D6φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.82(C2xD4)480,383
C30.83(C2×D4) = C2×C20.D6φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.83(C2xD4)480,384
C30.84(C2×D4) = D12.37D10φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.84(C2xD4)480,385
C30.85(C2×D4) = C2×C6.D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.85(C2xD4)480,386
C30.86(C2×D4) = D20.31D6φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.86(C2xD4)480,387
C30.87(C2×D4) = D60⋊30C22φ: C2×D4/C22 → C22 ⊆ Aut C301204C30.87(C2xD4)480,388
C30.88(C2×D4) = C60.63D4φ: C2×D4/C22 → C22 ⊆ Aut C302404-C30.88(C2xD4)480,389
C30.89(C2×D4) = C2×C15⋊SD16φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.89(C2xD4)480,390
C30.90(C2×D4) = C12.D20φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.90(C2xD4)480,391
C30.91(C2×D4) = C2×D12.D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.91(C2xD4)480,392
C30.92(C2×D4) = C2×Dic6⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.92(C2xD4)480,393
C30.93(C2×D4) = C2×C15⋊Q16φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.93(C2xD4)480,394
C30.94(C2×D4) = C2×C3⋊Dic20φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.94(C2xD4)480,395
C30.95(C2×D4) = C2×C5⋊Dic12φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.95(C2xD4)480,396
C30.96(C2×D4) = C20.D12φ: C2×D4/C22 → C22 ⊆ Aut C302404C30.96(C2xD4)480,397
C30.97(C2×D4) = D12.33D10φ: C2×D4/C22 → C22 ⊆ Aut C302404-C30.97(C2xD4)480,398
C30.98(C2×D4) = (C2×C20).D6φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.98(C2xD4)480,402
C30.99(C2×D4) = Dic15⋊1Q8φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.99(C2xD4)480,403
C30.100(C2×D4) = Dic3⋊Dic10φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.100(C2xD4)480,404
C30.101(C2×D4) = Dic15⋊Q8φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.101(C2xD4)480,405
C30.102(C2×D4) = Dic3⋊C4⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.102(C2xD4)480,424
C30.103(C2×D4) = D10⋊Dic6φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.103(C2xD4)480,425
C30.104(C2×D4) = D6⋊Dic5⋊C2φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.104(C2xD4)480,427
C30.105(C2×D4) = D6⋊Dic10φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.105(C2xD4)480,428
C30.106(C2×D4) = D30.34D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.106(C2xD4)480,430
C30.107(C2×D4) = D30.35D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.107(C2xD4)480,431
C30.108(C2×D4) = C60.67D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.108(C2xD4)480,435
C30.109(C2×D4) = C60.68D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.109(C2xD4)480,436
C30.110(C2×D4) = C60.44D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.110(C2xD4)480,440
C30.111(C2×D4) = C60.45D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.111(C2xD4)480,441
C30.112(C2×D4) = C60.88D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.112(C2xD4)480,444
C30.113(C2×D4) = C60.46D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.113(C2xD4)480,445
C30.114(C2×D4) = C60.89D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.114(C2xD4)480,446
C30.115(C2×D4) = C60.69D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.115(C2xD4)480,449
C30.116(C2×D4) = C60.47D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.116(C2xD4)480,450
C30.117(C2×D4) = C60.70D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.117(C2xD4)480,451
C30.118(C2×D4) = Dic5⋊Dic6φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.118(C2xD4)480,452
C30.119(C2×D4) = D30⋊8Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.119(C2xD4)480,453
C30.120(C2×D4) = D30⋊9Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.120(C2xD4)480,459
C30.121(C2×D4) = Dic15⋊8Q8φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.121(C2xD4)480,461
C30.122(C2×D4) = C60.48D4φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.122(C2xD4)480,465
C30.123(C2×D4) = D30⋊10Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.123(C2xD4)480,466
C30.124(C2×D4) = D5×Dic3⋊C4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.124(C2xD4)480,468
C30.125(C2×D4) = Dic15⋊13D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.125(C2xD4)480,472
C30.126(C2×D4) = S3×C10.D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.126(C2xD4)480,475
C30.127(C2×D4) = D30.Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.127(C2xD4)480,480
C30.128(C2×D4) = Dic15⋊14D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.128(C2xD4)480,482
C30.129(C2×D4) = (C6×D5).D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.129(C2xD4)480,483
C30.130(C2×D4) = Dic15⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.130(C2xD4)480,484
C30.131(C2×D4) = D6⋊1Dic10φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.131(C2xD4)480,486
C30.132(C2×D4) = D30⋊Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.132(C2xD4)480,487
C30.133(C2×D4) = D30⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.133(C2xD4)480,496
C30.134(C2×D4) = D10⋊1Dic6φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.134(C2xD4)480,497
C30.135(C2×D4) = (C2×D12).D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.135(C2xD4)480,499
C30.136(C2×D4) = D30⋊3Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.136(C2xD4)480,500
C30.137(C2×D4) = D10⋊4Dic6φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.137(C2xD4)480,507
C30.138(C2×D4) = D6⋊3Dic10φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.138(C2xD4)480,508
C30.139(C2×D4) = D30.6D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.139(C2xD4)480,509
C30.140(C2×D4) = C4×C15⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.140(C2xD4)480,515
C30.141(C2×D4) = D6⋊(C4×D5)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.141(C2xD4)480,516
C30.142(C2×D4) = C15⋊17(C4×D4)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.142(C2xD4)480,517
C30.143(C2×D4) = C4×C3⋊D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.143(C2xD4)480,519
C30.144(C2×D4) = C15⋊20(C4×D4)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.144(C2xD4)480,520
C30.145(C2×D4) = C4×C5⋊D12φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.145(C2xD4)480,521
C30.146(C2×D4) = C15⋊22(C4×D4)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.146(C2xD4)480,522
C30.147(C2×D4) = D6⋊C4⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.147(C2xD4)480,523
C30.148(C2×D4) = D10⋊C4⋊S3φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.148(C2xD4)480,528
C30.149(C2×D4) = D6⋊D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.149(C2xD4)480,530
C30.150(C2×D4) = (C2×Dic6)⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.150(C2xD4)480,531
C30.151(C2×D4) = C60⋊4D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.151(C2xD4)480,532
C30.152(C2×D4) = C12⋊D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.152(C2xD4)480,534
C30.153(C2×D4) = D30⋊2D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.153(C2xD4)480,535
C30.154(C2×D4) = C60⋊6D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.154(C2xD4)480,536
C30.155(C2×D4) = D30⋊12D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.155(C2xD4)480,537
C30.156(C2×D4) = Dic15.10D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.156(C2xD4)480,538
C30.157(C2×D4) = C60⋊10D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.157(C2xD4)480,539
C30.158(C2×D4) = C12⋊2D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.158(C2xD4)480,541
C30.159(C2×D4) = C20⋊2D12φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.159(C2xD4)480,542
C30.160(C2×D4) = S3×D10⋊C4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.160(C2xD4)480,548
C30.161(C2×D4) = D30.27D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.161(C2xD4)480,549
C30.162(C2×D4) = D6⋊4D20φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.162(C2xD4)480,550
C30.163(C2×D4) = D5×D4⋊S3φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.163(C2xD4)480,553
C30.164(C2×D4) = Dic10⋊3D6φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.164(C2xD4)480,554
C30.165(C2×D4) = S3×D4⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.165(C2xD4)480,555
C30.166(C2×D4) = D60.C22φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.166(C2xD4)480,556
C30.167(C2×D4) = D15⋊D8φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.167(C2xD4)480,557
C30.168(C2×D4) = D30.8D4φ: C2×D4/C22 → C22 ⊆ Aut C301208-C30.168(C2xD4)480,558
C30.169(C2×D4) = D5×D4.S3φ: C2×D4/C22 → C22 ⊆ Aut C301208-C30.169(C2xD4)480,559
C30.170(C2×D4) = C60.8C23φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.170(C2xD4)480,560
C30.171(C2×D4) = S3×D4.D5φ: C2×D4/C22 → C22 ⊆ Aut C301208-C30.171(C2xD4)480,561
C30.172(C2×D4) = C60.10C23φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.172(C2xD4)480,562
C30.173(C2×D4) = Dic10⋊D6φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.173(C2xD4)480,563
C30.174(C2×D4) = D30.9D4φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.174(C2xD4)480,564
C30.175(C2×D4) = D12⋊10D10φ: C2×D4/C22 → C22 ⊆ Aut C301208-C30.175(C2xD4)480,565
C30.176(C2×D4) = D12.24D10φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.176(C2xD4)480,566
C30.177(C2×D4) = D20.9D6φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.177(C2xD4)480,567
C30.178(C2×D4) = C60.16C23φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.178(C2xD4)480,568
C30.179(C2×D4) = D20.24D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.179(C2xD4)480,569
C30.180(C2×D4) = D20⋊10D6φ: C2×D4/C22 → C22 ⊆ Aut C301208-C30.180(C2xD4)480,570
C30.181(C2×D4) = C60.19C23φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.181(C2xD4)480,571
C30.182(C2×D4) = D12.9D10φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.182(C2xD4)480,572
C30.183(C2×D4) = D20.10D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.183(C2xD4)480,573
C30.184(C2×D4) = Dic6⋊D10φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.184(C2xD4)480,574
C30.185(C2×D4) = D30.11D4φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.185(C2xD4)480,575
C30.186(C2×D4) = D12⋊5D10φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.186(C2xD4)480,576
C30.187(C2×D4) = D5×Q8⋊2S3φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.187(C2xD4)480,577
C30.188(C2×D4) = D20⋊D6φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.188(C2xD4)480,578
C30.189(C2×D4) = S3×Q8⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.189(C2xD4)480,579
C30.190(C2×D4) = D12⋊D10φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.190(C2xD4)480,580
C30.191(C2×D4) = D15⋊SD16φ: C2×D4/C22 → C22 ⊆ Aut C301208-C30.191(C2xD4)480,581
C30.192(C2×D4) = D60⋊C22φ: C2×D4/C22 → C22 ⊆ Aut C301208+C30.192(C2xD4)480,582
C30.193(C2×D4) = D5×C3⋊Q16φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.193(C2xD4)480,583
C30.194(C2×D4) = D20.13D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.194(C2xD4)480,584
C30.195(C2×D4) = S3×C5⋊Q16φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.195(C2xD4)480,585
C30.196(C2×D4) = Dic10.26D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.196(C2xD4)480,586
C30.197(C2×D4) = D15⋊Q16φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.197(C2xD4)480,587
C30.198(C2×D4) = C60.C23φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.198(C2xD4)480,588
C30.199(C2×D4) = D12.27D10φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.199(C2xD4)480,589
C30.200(C2×D4) = D20.14D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.200(C2xD4)480,590
C30.201(C2×D4) = C60.39C23φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.201(C2xD4)480,591
C30.202(C2×D4) = D20.D6φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.202(C2xD4)480,592
C30.203(C2×D4) = D20.27D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.203(C2xD4)480,593
C30.204(C2×D4) = D20.28D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.204(C2xD4)480,594
C30.205(C2×D4) = Dic10.27D6φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.205(C2xD4)480,595
C30.206(C2×D4) = C60.44C23φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.206(C2xD4)480,596
C30.207(C2×D4) = D20.16D6φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.207(C2xD4)480,597
C30.208(C2×D4) = D20.17D6φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.208(C2xD4)480,598
C30.209(C2×D4) = D12.D10φ: C2×D4/C22 → C22 ⊆ Aut C302408+C30.209(C2xD4)480,599
C30.210(C2×D4) = D30.44D4φ: C2×D4/C22 → C22 ⊆ Aut C302408-C30.210(C2xD4)480,600
C30.211(C2×D4) = C23.D5⋊S3φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.211(C2xD4)480,601
C30.212(C2×D4) = Dic15.19D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.212(C2xD4)480,602
C30.213(C2×D4) = D30⋊6D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.213(C2xD4)480,609
C30.214(C2×D4) = C6.(D4×D5)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.214(C2xD4)480,610
C30.215(C2×D4) = C2×D10⋊Dic3φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.215(C2xD4)480,611
C30.216(C2×D4) = (C2×C30).D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.216(C2xD4)480,612
C30.217(C2×D4) = C6.(C2×D20)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.217(C2xD4)480,613
C30.218(C2×D4) = C2×D6⋊Dic5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.218(C2xD4)480,614
C30.219(C2×D4) = C30.(C2×D4)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.219(C2xD4)480,615
C30.220(C2×D4) = C2×D30⋊4C4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.220(C2xD4)480,616
C30.221(C2×D4) = C2×C30.Q8φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.221(C2xD4)480,617
C30.222(C2×D4) = C10.(C2×D12)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.222(C2xD4)480,618
C30.223(C2×D4) = (C2×C10).D12φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.223(C2xD4)480,619
C30.224(C2×D4) = C2×Dic15⋊5C4φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.224(C2xD4)480,620
C30.225(C2×D4) = C2×C6.Dic10φ: C2×D4/C22 → C22 ⊆ Aut C30480C30.225(C2xD4)480,621
C30.226(C2×D4) = C6.D4⋊D5φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.226(C2xD4)480,622
C30.227(C2×D4) = D5×C6.D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.227(C2xD4)480,623
C30.228(C2×D4) = C23.17(S3×D5)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.228(C2xD4)480,624
C30.229(C2×D4) = (C6×D5)⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.229(C2xD4)480,625
C30.230(C2×D4) = Dic15⋊3D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.230(C2xD4)480,626
C30.231(C2×D4) = Dic5×C3⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.231(C2xD4)480,627
C30.232(C2×D4) = C15⋊26(C4×D4)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.232(C2xD4)480,628
C30.233(C2×D4) = Dic3×C5⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.233(C2xD4)480,629
C30.234(C2×D4) = S3×C23.D5φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.234(C2xD4)480,630
C30.235(C2×D4) = (S3×C10).D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.235(C2xD4)480,631
C30.236(C2×D4) = C15⋊28(C4×D4)φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.236(C2xD4)480,632
C30.237(C2×D4) = D30⋊7D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.237(C2xD4)480,633
C30.238(C2×D4) = Dic15⋊4D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.238(C2xD4)480,634
C30.239(C2×D4) = Dic15⋊16D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.239(C2xD4)480,635
C30.240(C2×D4) = Dic15⋊17D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.240(C2xD4)480,636
C30.241(C2×D4) = D30.45D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.241(C2xD4)480,637
C30.242(C2×D4) = D30.16D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.242(C2xD4)480,638
C30.243(C2×D4) = (C2×C30)⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.243(C2xD4)480,639
C30.244(C2×D4) = (C2×C6)⋊8D20φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.244(C2xD4)480,640
C30.245(C2×D4) = (S3×C10)⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.245(C2xD4)480,641
C30.246(C2×D4) = (C2×C10)⋊4D12φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.246(C2xD4)480,642
C30.247(C2×D4) = Dic15⋊5D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.247(C2xD4)480,643
C30.248(C2×D4) = C15⋊C22≀C2φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.248(C2xD4)480,644
C30.249(C2×D4) = (C2×C6)⋊D20φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.249(C2xD4)480,645
C30.250(C2×D4) = (C2×C10)⋊11D12φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.250(C2xD4)480,646
C30.251(C2×D4) = Dic15⋊18D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.251(C2xD4)480,647
C30.252(C2×D4) = D30⋊18D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.252(C2xD4)480,648
C30.253(C2×D4) = D30⋊19D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.253(C2xD4)480,649
C30.254(C2×D4) = (C2×C30)⋊Q8φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.254(C2xD4)480,650
C30.255(C2×D4) = (C2×C10)⋊8Dic6φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.255(C2xD4)480,651
C30.256(C2×D4) = Dic15.48D4φ: C2×D4/C22 → C22 ⊆ Aut C30240C30.256(C2xD4)480,652
C30.257(C2×D4) = D30⋊8D4φ: C2×D4/C22 → C22 ⊆ Aut C30120C30.257(C2xD4)480,653
C30.258(C2×D4) = C60⋊8Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.258(C2xD4)480,834
C30.259(C2×D4) = C4×D60φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.259(C2xD4)480,838
C30.260(C2×D4) = C42⋊6D15φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.260(C2xD4)480,839
C30.261(C2×D4) = C42⋊7D15φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.261(C2xD4)480,840
C30.262(C2×D4) = C22.D60φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.262(C2xD4)480,851
C30.263(C2×D4) = C4⋊D60φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.263(C2xD4)480,860
C30.264(C2×D4) = D30⋊6Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.264(C2xD4)480,862
C30.265(C2×D4) = C2×C24⋊D5φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.265(C2xD4)480,867
C30.266(C2×D4) = C2×D120φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.266(C2xD4)480,868
C30.267(C2×D4) = C40.69D6φ: C2×D4/C2×C4 → C2 ⊆ Aut C302402C30.267(C2xD4)480,869
C30.268(C2×D4) = C2×Dic60φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.268(C2xD4)480,870
C30.269(C2×D4) = C8⋊D30φ: C2×D4/C2×C4 → C2 ⊆ Aut C301204+C30.269(C2xD4)480,873
C30.270(C2×D4) = C8.D30φ: C2×D4/C2×C4 → C2 ⊆ Aut C302404-C30.270(C2xD4)480,874
C30.271(C2×D4) = C2×C60⋊5C4φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.271(C2xD4)480,890
C30.272(C2×D4) = C2×D30⋊3C4φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.272(C2xD4)480,892
C30.273(C2×D4) = C60⋊29D4φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.273(C2xD4)480,895
C30.274(C2×D4) = C3×C20⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.274(C2xD4)480,662
C30.275(C2×D4) = C12×D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.275(C2xD4)480,666
C30.276(C2×D4) = C3×C20⋊4D4φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.276(C2xD4)480,667
C30.277(C2×D4) = C3×C4.D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.277(C2xD4)480,668
C30.278(C2×D4) = C3×C22⋊D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C30120C30.278(C2xD4)480,675
C30.279(C2×D4) = C3×C22.D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.279(C2xD4)480,679
C30.280(C2×D4) = C3×D10⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.280(C2xD4)480,690
C30.281(C2×D4) = C6×C40⋊C2φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.281(C2xD4)480,695
C30.282(C2×D4) = C6×D40φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.282(C2xD4)480,696
C30.283(C2×D4) = C3×D40⋊7C2φ: C2×D4/C2×C4 → C2 ⊆ Aut C302402C30.283(C2xD4)480,697
C30.284(C2×D4) = C6×Dic20φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.284(C2xD4)480,698
C30.285(C2×D4) = C3×C8⋊D10φ: C2×D4/C2×C4 → C2 ⊆ Aut C301204C30.285(C2xD4)480,701
C30.286(C2×D4) = C3×C8.D10φ: C2×D4/C2×C4 → C2 ⊆ Aut C302404C30.286(C2xD4)480,702
C30.287(C2×D4) = C6×C4⋊Dic5φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.287(C2xD4)480,718
C30.288(C2×D4) = C5×C12⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.288(C2xD4)480,748
C30.289(C2×D4) = C20×D12φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.289(C2xD4)480,752
C30.290(C2×D4) = C5×C4⋊D12φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.290(C2xD4)480,753
C30.291(C2×D4) = C5×C42⋊7S3φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.291(C2xD4)480,754
C30.292(C2×D4) = C5×D6⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Aut C30120C30.292(C2xD4)480,761
C30.293(C2×D4) = C5×C23.21D6φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.293(C2xD4)480,765
C30.294(C2×D4) = C5×C12⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.294(C2xD4)480,774
C30.295(C2×D4) = C5×C4.D12φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.295(C2xD4)480,776
C30.296(C2×D4) = C10×C24⋊C2φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.296(C2xD4)480,781
C30.297(C2×D4) = C10×D24φ: C2×D4/C2×C4 → C2 ⊆ Aut C30240C30.297(C2xD4)480,782
C30.298(C2×D4) = C5×C4○D24φ: C2×D4/C2×C4 → C2 ⊆ Aut C302402C30.298(C2xD4)480,783
C30.299(C2×D4) = C10×Dic12φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.299(C2xD4)480,784
C30.300(C2×D4) = C5×C8⋊D6φ: C2×D4/C2×C4 → C2 ⊆ Aut C301204C30.300(C2xD4)480,787
C30.301(C2×D4) = C5×C8.D6φ: C2×D4/C2×C4 → C2 ⊆ Aut C302404C30.301(C2xD4)480,788
C30.302(C2×D4) = C10×C4⋊Dic3φ: C2×D4/C2×C4 → C2 ⊆ Aut C30480C30.302(C2xD4)480,804
C30.303(C2×D4) = C22⋊2Dic30φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.303(C2xD4)480,843
C30.304(C2×D4) = C22⋊C4×D15φ: C2×D4/D4 → C2 ⊆ Aut C30120C30.304(C2xD4)480,845
C30.305(C2×D4) = Dic15⋊19D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.305(C2xD4)480,846
C30.306(C2×D4) = D30⋊16D4φ: C2×D4/D4 → C2 ⊆ Aut C30120C30.306(C2xD4)480,847
C30.307(C2×D4) = D30.28D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.307(C2xD4)480,848
C30.308(C2×D4) = D30⋊9D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.308(C2xD4)480,849
C30.309(C2×D4) = C23.11D30φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.309(C2xD4)480,850
C30.310(C2×D4) = C4⋊Dic30φ: C2×D4/D4 → C2 ⊆ Aut C30480C30.310(C2xD4)480,853
C30.311(C2×D4) = C4⋊C4×D15φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.311(C2xD4)480,856
C30.312(C2×D4) = D60⋊11C4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.312(C2xD4)480,858
C30.313(C2×D4) = D30.29D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.313(C2xD4)480,859
C30.314(C2×D4) = D30⋊5Q8φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.314(C2xD4)480,861
C30.315(C2×D4) = D8×D15φ: C2×D4/D4 → C2 ⊆ Aut C301204+C30.315(C2xD4)480,875
C30.316(C2×D4) = D8⋊D15φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.316(C2xD4)480,876
C30.317(C2×D4) = D8⋊3D15φ: C2×D4/D4 → C2 ⊆ Aut C302404-C30.317(C2xD4)480,877
C30.318(C2×D4) = SD16×D15φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.318(C2xD4)480,878
C30.319(C2×D4) = Q8⋊3D30φ: C2×D4/D4 → C2 ⊆ Aut C301204+C30.319(C2xD4)480,879
C30.320(C2×D4) = SD16⋊D15φ: C2×D4/D4 → C2 ⊆ Aut C302404-C30.320(C2xD4)480,880
C30.321(C2×D4) = D4.5D30φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.321(C2xD4)480,881
C30.322(C2×D4) = Q16×D15φ: C2×D4/D4 → C2 ⊆ Aut C302404-C30.322(C2xD4)480,882
C30.323(C2×D4) = Q16⋊D15φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.323(C2xD4)480,883
C30.324(C2×D4) = D120⋊8C2φ: C2×D4/D4 → C2 ⊆ Aut C302404+C30.324(C2xD4)480,884
C30.325(C2×D4) = D4×Dic15φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.325(C2xD4)480,899
C30.326(C2×D4) = D30⋊17D4φ: C2×D4/D4 → C2 ⊆ Aut C30120C30.326(C2xD4)480,902
C30.327(C2×D4) = C60⋊3D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.327(C2xD4)480,905
C30.328(C2×D4) = C3×Dic5.14D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.328(C2xD4)480,671
C30.329(C2×D4) = C3×D5×C22⋊C4φ: C2×D4/D4 → C2 ⊆ Aut C30120C30.329(C2xD4)480,673
C30.330(C2×D4) = C3×Dic5⋊4D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.330(C2xD4)480,674
C30.331(C2×D4) = C3×D10.12D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.331(C2xD4)480,676
C30.332(C2×D4) = C3×D10⋊D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.332(C2xD4)480,677
C30.333(C2×D4) = C3×Dic5.5D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.333(C2xD4)480,678
C30.334(C2×D4) = C3×C20⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C30480C30.334(C2xD4)480,681
C30.335(C2×D4) = C3×D5×C4⋊C4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.335(C2xD4)480,684
C30.336(C2×D4) = C3×D20⋊8C4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.336(C2xD4)480,686
C30.337(C2×D4) = C3×D10.13D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.337(C2xD4)480,687
C30.338(C2×D4) = C3×C4⋊D20φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.338(C2xD4)480,688
C30.339(C2×D4) = C3×D10⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.339(C2xD4)480,689
C30.340(C2×D4) = C3×D5×D8φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.340(C2xD4)480,703
C30.341(C2×D4) = C3×D8⋊D5φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.341(C2xD4)480,704
C30.342(C2×D4) = C3×D8⋊3D5φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.342(C2xD4)480,705
C30.343(C2×D4) = C3×D5×SD16φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.343(C2xD4)480,706
C30.344(C2×D4) = C3×D40⋊C2φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.344(C2xD4)480,707
C30.345(C2×D4) = C3×SD16⋊D5φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.345(C2xD4)480,708
C30.346(C2×D4) = C3×SD16⋊3D5φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.346(C2xD4)480,709
C30.347(C2×D4) = C3×D5×Q16φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.347(C2xD4)480,710
C30.348(C2×D4) = C3×Q16⋊D5φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.348(C2xD4)480,711
C30.349(C2×D4) = C3×Q8.D10φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.349(C2xD4)480,712
C30.350(C2×D4) = C3×D4×Dic5φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.350(C2xD4)480,727
C30.351(C2×D4) = C3×C20⋊2D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.351(C2xD4)480,731
C30.352(C2×D4) = C5×Dic3.D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.352(C2xD4)480,757
C30.353(C2×D4) = C5×S3×C22⋊C4φ: C2×D4/D4 → C2 ⊆ Aut C30120C30.353(C2xD4)480,759
C30.354(C2×D4) = C5×Dic3⋊4D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.354(C2xD4)480,760
C30.355(C2×D4) = C5×C23.9D6φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.355(C2xD4)480,762
C30.356(C2×D4) = C5×Dic3⋊D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.356(C2xD4)480,763
C30.357(C2×D4) = C5×C23.11D6φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.357(C2xD4)480,764
C30.358(C2×D4) = C5×C12⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C30480C30.358(C2xD4)480,767
C30.359(C2×D4) = C5×S3×C4⋊C4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.359(C2xD4)480,770
C30.360(C2×D4) = C5×Dic3⋊5D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.360(C2xD4)480,772
C30.361(C2×D4) = C5×D6.D4φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.361(C2xD4)480,773
C30.362(C2×D4) = C5×D6⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.362(C2xD4)480,775
C30.363(C2×D4) = C5×S3×D8φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.363(C2xD4)480,789
C30.364(C2×D4) = C5×D8⋊S3φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.364(C2xD4)480,790
C30.365(C2×D4) = C5×D8⋊3S3φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.365(C2xD4)480,791
C30.366(C2×D4) = C5×S3×SD16φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.366(C2xD4)480,792
C30.367(C2×D4) = C5×Q8⋊3D6φ: C2×D4/D4 → C2 ⊆ Aut C301204C30.367(C2xD4)480,793
C30.368(C2×D4) = C5×D4.D6φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.368(C2xD4)480,794
C30.369(C2×D4) = C5×Q8.7D6φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.369(C2xD4)480,795
C30.370(C2×D4) = C5×S3×Q16φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.370(C2xD4)480,796
C30.371(C2×D4) = C5×Q16⋊S3φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.371(C2xD4)480,797
C30.372(C2×D4) = C5×D24⋊C2φ: C2×D4/D4 → C2 ⊆ Aut C302404C30.372(C2xD4)480,798
C30.373(C2×D4) = C5×D4×Dic3φ: C2×D4/D4 → C2 ⊆ Aut C30240C30.373(C2xD4)480,813
C30.374(C2×D4) = C2×C30.4Q8φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.374(C2xD4)480,888
C30.375(C2×D4) = C60.205D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.375(C2xD4)480,889
C30.376(C2×D4) = C4×C15⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.376(C2xD4)480,893
C30.377(C2×D4) = C23.28D30φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.377(C2xD4)480,894
C30.378(C2×D4) = C2×D4⋊D15φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.378(C2xD4)480,896
C30.379(C2×D4) = D4.D30φ: C2×D4/C23 → C2 ⊆ Aut C301204C30.379(C2xD4)480,897
C30.380(C2×D4) = C2×D4.D15φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.380(C2xD4)480,898
C30.381(C2×D4) = C23.22D30φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.381(C2xD4)480,900
C30.382(C2×D4) = C60.17D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.382(C2xD4)480,901
C30.383(C2×D4) = C60⋊2D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.383(C2xD4)480,903
C30.384(C2×D4) = Dic15⋊12D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.384(C2xD4)480,904
C30.385(C2×D4) = C2×Q8⋊2D15φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.385(C2xD4)480,906
C30.386(C2×D4) = Q8.11D30φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.386(C2xD4)480,907
C30.387(C2×D4) = C2×C15⋊7Q16φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.387(C2xD4)480,908
C30.388(C2×D4) = Dic15⋊4Q8φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.388(C2xD4)480,909
C30.389(C2×D4) = D30⋊7Q8φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.389(C2xD4)480,911
C30.390(C2×D4) = C60.23D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.390(C2xD4)480,912
C30.391(C2×D4) = D4⋊D30φ: C2×D4/C23 → C2 ⊆ Aut C301204+C30.391(C2xD4)480,914
C30.392(C2×D4) = D4.8D30φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.392(C2xD4)480,915
C30.393(C2×D4) = D4.9D30φ: C2×D4/C23 → C2 ⊆ Aut C302404-C30.393(C2xD4)480,916
C30.394(C2×D4) = C2×C30.38D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.394(C2xD4)480,917
C30.395(C2×D4) = C24⋊5D15φ: C2×D4/C23 → C2 ⊆ Aut C30120C30.395(C2xD4)480,918
C30.396(C2×D4) = C6×C10.D4φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.396(C2xD4)480,716
C30.397(C2×D4) = C3×C20.48D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.397(C2xD4)480,717
C30.398(C2×D4) = C6×D10⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.398(C2xD4)480,720
C30.399(C2×D4) = C12×C5⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.399(C2xD4)480,721
C30.400(C2×D4) = C3×C23.23D10φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.400(C2xD4)480,722
C30.401(C2×D4) = C3×C20⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.401(C2xD4)480,723
C30.402(C2×D4) = C6×D4⋊D5φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.402(C2xD4)480,724
C30.403(C2×D4) = C3×D4.D10φ: C2×D4/C23 → C2 ⊆ Aut C301204C30.403(C2xD4)480,725
C30.404(C2×D4) = C6×D4.D5φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.404(C2xD4)480,726
C30.405(C2×D4) = C3×C23.18D10φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.405(C2xD4)480,728
C30.406(C2×D4) = C3×C20.17D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.406(C2xD4)480,729
C30.407(C2×D4) = C3×C23⋊D10φ: C2×D4/C23 → C2 ⊆ Aut C30120C30.407(C2xD4)480,730
C30.408(C2×D4) = C3×Dic5⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.408(C2xD4)480,732
C30.409(C2×D4) = C3×C20⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.409(C2xD4)480,733
C30.410(C2×D4) = C6×Q8⋊D5φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.410(C2xD4)480,734
C30.411(C2×D4) = C3×C20.C23φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.411(C2xD4)480,735
C30.412(C2×D4) = C6×C5⋊Q16φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.412(C2xD4)480,736
C30.413(C2×D4) = C3×Dic5⋊Q8φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.413(C2xD4)480,737
C30.414(C2×D4) = C3×D10⋊3Q8φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.414(C2xD4)480,739
C30.415(C2×D4) = C3×C20.23D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.415(C2xD4)480,740
C30.416(C2×D4) = C3×D4⋊D10φ: C2×D4/C23 → C2 ⊆ Aut C301204C30.416(C2xD4)480,742
C30.417(C2×D4) = C3×D4.8D10φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.417(C2xD4)480,743
C30.418(C2×D4) = C3×D4.9D10φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.418(C2xD4)480,744
C30.419(C2×D4) = C6×C23.D5φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.419(C2xD4)480,745
C30.420(C2×D4) = C3×C24⋊2D5φ: C2×D4/C23 → C2 ⊆ Aut C30120C30.420(C2xD4)480,746
C30.421(C2×D4) = C10×Dic3⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.421(C2xD4)480,802
C30.422(C2×D4) = C5×C12.48D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.422(C2xD4)480,803
C30.423(C2×D4) = C10×D6⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.423(C2xD4)480,806
C30.424(C2×D4) = C20×C3⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.424(C2xD4)480,807
C30.425(C2×D4) = C5×C23.28D6φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.425(C2xD4)480,808
C30.426(C2×D4) = C5×C12⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.426(C2xD4)480,809
C30.427(C2×D4) = C10×D4⋊S3φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.427(C2xD4)480,810
C30.428(C2×D4) = C5×D12⋊6C22φ: C2×D4/C23 → C2 ⊆ Aut C301204C30.428(C2xD4)480,811
C30.429(C2×D4) = C10×D4.S3φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.429(C2xD4)480,812
C30.430(C2×D4) = C5×C23.23D6φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.430(C2xD4)480,814
C30.431(C2×D4) = C5×C23.12D6φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.431(C2xD4)480,815
C30.432(C2×D4) = C5×C23⋊2D6φ: C2×D4/C23 → C2 ⊆ Aut C30120C30.432(C2xD4)480,816
C30.433(C2×D4) = C5×D6⋊3D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.433(C2xD4)480,817
C30.434(C2×D4) = C5×C23.14D6φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.434(C2xD4)480,818
C30.435(C2×D4) = C5×C12⋊3D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.435(C2xD4)480,819
C30.436(C2×D4) = C10×Q8⋊2S3φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.436(C2xD4)480,820
C30.437(C2×D4) = C5×Q8.11D6φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.437(C2xD4)480,821
C30.438(C2×D4) = C10×C3⋊Q16φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.438(C2xD4)480,822
C30.439(C2×D4) = C5×Dic3⋊Q8φ: C2×D4/C23 → C2 ⊆ Aut C30480C30.439(C2xD4)480,823
C30.440(C2×D4) = C5×D6⋊3Q8φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.440(C2xD4)480,825
C30.441(C2×D4) = C5×C12.23D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.441(C2xD4)480,826
C30.442(C2×D4) = C5×D4⋊D6φ: C2×D4/C23 → C2 ⊆ Aut C301204C30.442(C2xD4)480,828
C30.443(C2×D4) = C5×Q8.13D6φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.443(C2xD4)480,829
C30.444(C2×D4) = C5×Q8.14D6φ: C2×D4/C23 → C2 ⊆ Aut C302404C30.444(C2xD4)480,830
C30.445(C2×D4) = C10×C6.D4φ: C2×D4/C23 → C2 ⊆ Aut C30240C30.445(C2xD4)480,831
C30.446(C2×D4) = C5×C24⋊4S3φ: C2×D4/C23 → C2 ⊆ Aut C30120C30.446(C2xD4)480,832
C30.447(C2×D4) = C22⋊C4×C30central extension (φ=1)240C30.447(C2xD4)480,920
C30.448(C2×D4) = C4⋊C4×C30central extension (φ=1)480C30.448(C2xD4)480,921
C30.449(C2×D4) = D4×C60central extension (φ=1)240C30.449(C2xD4)480,923
C30.450(C2×D4) = C15×C22≀C2central extension (φ=1)120C30.450(C2xD4)480,925
C30.451(C2×D4) = C15×C4⋊D4central extension (φ=1)240C30.451(C2xD4)480,926
C30.452(C2×D4) = C15×C22⋊Q8central extension (φ=1)240C30.452(C2xD4)480,927
C30.453(C2×D4) = C15×C22.D4central extension (φ=1)240C30.453(C2xD4)480,928
C30.454(C2×D4) = C15×C4.4D4central extension (φ=1)240C30.454(C2xD4)480,929
C30.455(C2×D4) = C15×C4⋊1D4central extension (φ=1)240C30.455(C2xD4)480,932
C30.456(C2×D4) = C15×C4⋊Q8central extension (φ=1)480C30.456(C2xD4)480,933
C30.457(C2×D4) = D8×C30central extension (φ=1)240C30.457(C2xD4)480,937
C30.458(C2×D4) = SD16×C30central extension (φ=1)240C30.458(C2xD4)480,938
C30.459(C2×D4) = Q16×C30central extension (φ=1)480C30.459(C2xD4)480,939
C30.460(C2×D4) = C15×C4○D8central extension (φ=1)2402C30.460(C2xD4)480,940
C30.461(C2×D4) = C15×C8⋊C22central extension (φ=1)1204C30.461(C2xD4)480,941
C30.462(C2×D4) = C15×C8.C22central extension (φ=1)2404C30.462(C2xD4)480,942

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