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Extensions 1→N→G→Q→1 with N=C30 and Q=C4○D4

Direct product G=N×Q with N=C30 and Q=C4○D4
dρLabelID
C4○D4×C30240C4oD4xC30480,1183

Semidirect products G=N:Q with N=C30 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C30⋊1(C4○D4) = C2×D20⋊5S3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:1(C4oD4)480,1074
C30⋊2(C4○D4) = C2×D20⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:2(C4oD4)480,1075
C30⋊3(C4○D4) = C2×D12⋊D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:3(C4oD4)480,1079
C30⋊4(C4○D4) = C2×D60⋊C2φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:4(C4oD4)480,1081
C30⋊5(C4○D4) = C2×D6.D10φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:5(C4oD4)480,1083
C30⋊6(C4○D4) = C2×D12⋊5D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:6(C4oD4)480,1084
C30⋊7(C4○D4) = C2×C12.28D10φ: C4○D4/C4 → C22 ⊆ Aut C30240C30:7(C4oD4)480,1085
C30⋊8(C4○D4) = C2×Dic5.D6φ: C4○D4/C22 → C22 ⊆ Aut C30240C30:8(C4oD4)480,1113
C30⋊9(C4○D4) = C2×C30.C23φ: C4○D4/C22 → C22 ⊆ Aut C30240C30:9(C4oD4)480,1114
C30⋊10(C4○D4) = C2×Dic3.D10φ: C4○D4/C22 → C22 ⊆ Aut C30240C30:10(C4oD4)480,1116
C30⋊11(C4○D4) = C2×D60⋊11C2φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30:11(C4oD4)480,1168
C30⋊12(C4○D4) = C6×C4○D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30:12(C4oD4)480,1138
C30⋊13(C4○D4) = C10×C4○D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30:13(C4oD4)480,1153
C30⋊14(C4○D4) = C2×D4⋊2D15φ: C4○D4/D4 → C2 ⊆ Aut C30240C30:14(C4oD4)480,1170
C30⋊15(C4○D4) = C6×D4⋊2D5φ: C4○D4/D4 → C2 ⊆ Aut C30240C30:15(C4oD4)480,1140
C30⋊16(C4○D4) = C10×D4⋊2S3φ: C4○D4/D4 → C2 ⊆ Aut C30240C30:16(C4oD4)480,1155
C30⋊17(C4○D4) = C2×Q8⋊3D15φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30:17(C4oD4)480,1173
C30⋊18(C4○D4) = C6×Q8⋊2D5φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30:18(C4oD4)480,1143
C30⋊19(C4○D4) = C10×Q8⋊3S3φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30:19(C4oD4)480,1158

Non-split extensions G=N.Q with N=C30 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C30.1(C4○D4) = (C2×C20).D6φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.1(C4oD4)480,402
C30.2(C4○D4) = Dic3×Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.2(C4oD4)480,406
C30.3(C4○D4) = Dic15⋊6Q8φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.3(C4oD4)480,407
C30.4(C4○D4) = Dic5×Dic6φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.4(C4oD4)480,408
C30.5(C4○D4) = Dic30⋊17C4φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.5(C4oD4)480,409
C30.6(C4○D4) = Dic5.2Dic6φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.6(C4oD4)480,411
C30.7(C4○D4) = Dic15.Q8φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.7(C4oD4)480,412
C30.8(C4○D4) = (S3×C20)⋊5C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.8(C4oD4)480,414
C30.9(C4○D4) = Dic30⋊14C4φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.9(C4oD4)480,416
C30.10(C4○D4) = D6⋊C4.D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.10(C4oD4)480,417
C30.11(C4○D4) = C60⋊5C4⋊C2φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.11(C4oD4)480,418
C30.12(C4○D4) = Dic3.Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.12(C4oD4)480,419
C30.13(C4○D4) = Dic15⋊7Q8φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.13(C4oD4)480,420
C30.14(C4○D4) = C4⋊Dic5⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.14(C4oD4)480,421
C30.15(C4○D4) = (C4×D15)⋊8C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.15(C4oD4)480,423
C30.16(C4○D4) = Dic3⋊C4⋊D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.16(C4oD4)480,424
C30.17(C4○D4) = D10⋊Dic6φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.17(C4oD4)480,425
C30.18(C4○D4) = D6⋊Dic5⋊C2φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.18(C4oD4)480,427
C30.19(C4○D4) = D6⋊Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.19(C4oD4)480,428
C30.20(C4○D4) = Dic3.D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.20(C4oD4)480,429
C30.21(C4○D4) = D30.34D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.21(C4oD4)480,430
C30.22(C4○D4) = D30.35D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.22(C4oD4)480,431
C30.23(C4○D4) = D30.D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.23(C4oD4)480,432
C30.24(C4○D4) = (D5×C12)⋊C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.24(C4oD4)480,433
C30.25(C4○D4) = (C4×D5)⋊Dic3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.25(C4oD4)480,434
C30.26(C4○D4) = C60.67D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.26(C4oD4)480,435
C30.27(C4○D4) = C60.68D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.27(C4oD4)480,436
C30.28(C4○D4) = (C2×C60).C22φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.28(C4oD4)480,438
C30.29(C4○D4) = (C4×Dic3)⋊D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.29(C4oD4)480,439
C30.30(C4○D4) = C60.44D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.30(C4oD4)480,440
C30.31(C4○D4) = C60.45D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.31(C4oD4)480,441
C30.32(C4○D4) = (C4×Dic15)⋊C2φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.32(C4oD4)480,442
C30.33(C4○D4) = D6⋊Dic5.C2φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.33(C4oD4)480,443
C30.34(C4○D4) = C60.88D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.34(C4oD4)480,444
C30.35(C4○D4) = C60.46D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.35(C4oD4)480,445
C30.36(C4○D4) = C60.89D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.36(C4oD4)480,446
C30.37(C4○D4) = (S3×C20)⋊7C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.37(C4oD4)480,447
C30.38(C4○D4) = C5⋊(C42⋊3S3)φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.38(C4oD4)480,448
C30.39(C4○D4) = C60.69D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.39(C4oD4)480,449
C30.40(C4○D4) = C60.47D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.40(C4oD4)480,450
C30.41(C4○D4) = C60.70D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.41(C4oD4)480,451
C30.42(C4○D4) = D30⋊8Q8φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.42(C4oD4)480,453
C30.43(C4○D4) = Dic3.3Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.43(C4oD4)480,455
C30.44(C4○D4) = C10.D4⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.44(C4oD4)480,456
C30.45(C4○D4) = C60.6Q8φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.45(C4oD4)480,457
C30.46(C4○D4) = D30⋊9Q8φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.46(C4oD4)480,459
C30.47(C4○D4) = C12.Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.47(C4oD4)480,460
C30.48(C4○D4) = (C4×D15)⋊10C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.48(C4oD4)480,462
C30.49(C4○D4) = (C4×Dic5)⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.49(C4oD4)480,463
C30.50(C4○D4) = C20.Dic6φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.50(C4oD4)480,464
C30.51(C4○D4) = D30⋊10Q8φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.51(C4oD4)480,466
C30.52(C4○D4) = Dic15⋊13D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.52(C4oD4)480,472
C30.53(C4○D4) = Dic15⋊14D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.53(C4oD4)480,482
C30.54(C4○D4) = (C6×D5).D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.54(C4oD4)480,483
C30.55(C4○D4) = Dic15⋊D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.55(C4oD4)480,484
C30.56(C4○D4) = Dic3⋊D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.56(C4oD4)480,485
C30.57(C4○D4) = D6⋊1Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.57(C4oD4)480,486
C30.58(C4○D4) = D30⋊Q8φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.58(C4oD4)480,487
C30.59(C4○D4) = D10.16D12φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.59(C4oD4)480,489
C30.60(C4○D4) = Dic5×D12φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.60(C4oD4)480,491
C30.61(C4○D4) = Dic5⋊D12φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.61(C4oD4)480,492
C30.62(C4○D4) = D60⋊17C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.62(C4oD4)480,494
C30.63(C4○D4) = D30⋊D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.63(C4oD4)480,496
C30.64(C4○D4) = D10⋊1Dic6φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.64(C4oD4)480,497
C30.65(C4○D4) = (C2×D12).D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.65(C4oD4)480,499
C30.66(C4○D4) = D30⋊3Q8φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.66(C4oD4)480,500
C30.67(C4○D4) = Dic3×D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.67(C4oD4)480,501
C30.68(C4○D4) = D6.D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.68(C4oD4)480,503
C30.69(C4○D4) = D60⋊14C4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.69(C4oD4)480,504
C30.70(C4○D4) = D10⋊4Dic6φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.70(C4oD4)480,507
C30.71(C4○D4) = D6⋊3Dic10φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.71(C4oD4)480,508
C30.72(C4○D4) = D30.6D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.72(C4oD4)480,509
C30.73(C4○D4) = D20⋊8Dic3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.73(C4oD4)480,510
C30.74(C4○D4) = Dic15⋊8D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.74(C4oD4)480,511
C30.75(C4○D4) = C4×C15⋊D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.75(C4oD4)480,515
C30.76(C4○D4) = D6⋊(C4×D5)φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.76(C4oD4)480,516
C30.77(C4○D4) = C15⋊17(C4×D4)φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.77(C4oD4)480,517
C30.78(C4○D4) = C4×C3⋊D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.78(C4oD4)480,519
C30.79(C4○D4) = C15⋊20(C4×D4)φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.79(C4oD4)480,520
C30.80(C4○D4) = C4×C5⋊D12φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.80(C4oD4)480,521
C30.81(C4○D4) = C15⋊22(C4×D4)φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.81(C4oD4)480,522
C30.82(C4○D4) = D6⋊C4⋊D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.82(C4oD4)480,523
C30.83(C4○D4) = D10⋊D12φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.83(C4oD4)480,524
C30.84(C4○D4) = C60⋊D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.84(C4oD4)480,525
C30.85(C4○D4) = C12⋊7D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.85(C4oD4)480,526
C30.86(C4○D4) = D10⋊C4⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.86(C4oD4)480,528
C30.87(C4○D4) = Dic15⋊2D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.87(C4oD4)480,529
C30.88(C4○D4) = D6⋊D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.88(C4oD4)480,530
C30.89(C4○D4) = (C2×Dic6)⋊D5φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.89(C4oD4)480,531
C30.90(C4○D4) = C60⋊4D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.90(C4oD4)480,532
C30.91(C4○D4) = D30⋊2D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.91(C4oD4)480,535
C30.92(C4○D4) = C60⋊6D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.92(C4oD4)480,536
C30.93(C4○D4) = D30⋊12D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.93(C4oD4)480,537
C30.94(C4○D4) = Dic15.10D4φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.94(C4oD4)480,538
C30.95(C4○D4) = C12⋊2D20φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.95(C4oD4)480,541
C30.96(C4○D4) = C20⋊2D12φ: C4○D4/C4 → C22 ⊆ Aut C30240C30.96(C4oD4)480,542
C30.97(C4○D4) = C4×C15⋊Q8φ: C4○D4/C4 → C22 ⊆ Aut C30480C30.97(C4oD4)480,543
C30.98(C4○D4) = Dic5⋊5Dic6φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.98(C4oD4)480,399
C30.99(C4○D4) = Dic3⋊5Dic10φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.99(C4oD4)480,400
C30.100(C4○D4) = Dic15⋊5Q8φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.100(C4oD4)480,401
C30.101(C4○D4) = Dic5.1Dic6φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.101(C4oD4)480,410
C30.102(C4○D4) = C4⋊Dic3⋊D5φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.102(C4oD4)480,413
C30.103(C4○D4) = Dic15.2Q8φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.103(C4oD4)480,415
C30.104(C4○D4) = Dic3.2Dic10φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.104(C4oD4)480,422
C30.105(C4○D4) = Dic5.8D12φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.105(C4oD4)480,426
C30.106(C4○D4) = (C2×C12).D10φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.106(C4oD4)480,437
C30.107(C4○D4) = Dic5.7Dic6φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.107(C4oD4)480,454
C30.108(C4○D4) = Dic15.4Q8φ: C4○D4/C22 → C22 ⊆ Aut C30480C30.108(C4oD4)480,458
C30.109(C4○D4) = (D5×Dic3)⋊C4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.109(C4oD4)480,469
C30.110(C4○D4) = D10.19(C4×S3)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.110(C4oD4)480,470
C30.111(C4○D4) = Dic3⋊4D20φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.111(C4oD4)480,471
C30.112(C4○D4) = D6.(C4×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.112(C4oD4)480,474
C30.113(C4○D4) = (S3×Dic5)⋊C4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.113(C4oD4)480,476
C30.114(C4○D4) = D30.C2⋊C4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.114(C4oD4)480,478
C30.115(C4○D4) = D30.23(C2×C4)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.115(C4oD4)480,479
C30.116(C4○D4) = Dic5⋊4D12φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.116(C4oD4)480,481
C30.117(C4○D4) = D10.17D12φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.117(C4oD4)480,490
C30.118(C4○D4) = D6⋊2Dic10φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.118(C4oD4)480,493
C30.119(C4○D4) = D30⋊2Q8φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.119(C4oD4)480,495
C30.120(C4○D4) = D10⋊2Dic6φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.120(C4oD4)480,498
C30.121(C4○D4) = D30⋊4Q8φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.121(C4oD4)480,505
C30.122(C4○D4) = Dic15.D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.122(C4oD4)480,506
C30.123(C4○D4) = D6⋊4Dic10φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.123(C4oD4)480,512
C30.124(C4○D4) = D30.7D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.124(C4oD4)480,514
C30.125(C4○D4) = Dic15⋊9D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.125(C4oD4)480,518
C30.126(C4○D4) = D6.9D20φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.126(C4oD4)480,533
C30.127(C4○D4) = Dic15.31D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.127(C4oD4)480,540
C30.128(C4○D4) = C23.D5⋊S3φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.128(C4oD4)480,601
C30.129(C4○D4) = Dic15.19D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.129(C4oD4)480,602
C30.130(C4○D4) = (C6×Dic5)⋊7C4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.130(C4oD4)480,604
C30.131(C4○D4) = C23.26(S3×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.131(C4oD4)480,605
C30.132(C4○D4) = C23.13(S3×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.132(C4oD4)480,606
C30.133(C4○D4) = C23.14(S3×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.133(C4oD4)480,607
C30.134(C4○D4) = C23.48(S3×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.134(C4oD4)480,608
C30.135(C4○D4) = D30⋊6D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.135(C4oD4)480,609
C30.136(C4○D4) = C6.(D4×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.136(C4oD4)480,610
C30.137(C4○D4) = (C2×C30).D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.137(C4oD4)480,612
C30.138(C4○D4) = C6.(C2×D20)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.138(C4oD4)480,613
C30.139(C4○D4) = C30.(C2×D4)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.139(C4oD4)480,615
C30.140(C4○D4) = C10.(C2×D12)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.140(C4oD4)480,618
C30.141(C4○D4) = (C2×C10).D12φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.141(C4oD4)480,619
C30.142(C4○D4) = C6.D4⋊D5φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.142(C4oD4)480,622
C30.143(C4○D4) = C23.17(S3×D5)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.143(C4oD4)480,624
C30.144(C4○D4) = (C6×D5)⋊D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.144(C4oD4)480,625
C30.145(C4○D4) = Dic15⋊3D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.145(C4oD4)480,626
C30.146(C4○D4) = Dic5×C3⋊D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.146(C4oD4)480,627
C30.147(C4○D4) = C15⋊26(C4×D4)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.147(C4oD4)480,628
C30.148(C4○D4) = Dic3×C5⋊D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.148(C4oD4)480,629
C30.149(C4○D4) = (S3×C10).D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.149(C4oD4)480,631
C30.150(C4○D4) = C15⋊28(C4×D4)φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.150(C4oD4)480,632
C30.151(C4○D4) = D30⋊7D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.151(C4oD4)480,633
C30.152(C4○D4) = Dic15⋊4D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.152(C4oD4)480,634
C30.153(C4○D4) = Dic15⋊16D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.153(C4oD4)480,635
C30.154(C4○D4) = Dic15⋊17D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.154(C4oD4)480,636
C30.155(C4○D4) = D30.16D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.155(C4oD4)480,638
C30.156(C4○D4) = (S3×C10)⋊D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.156(C4oD4)480,641
C30.157(C4○D4) = (C2×C10)⋊4D12φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.157(C4oD4)480,642
C30.158(C4○D4) = (C2×C6)⋊D20φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.158(C4oD4)480,645
C30.159(C4○D4) = Dic15⋊18D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.159(C4oD4)480,647
C30.160(C4○D4) = (C2×C30)⋊Q8φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.160(C4oD4)480,650
C30.161(C4○D4) = (C2×C10)⋊8Dic6φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.161(C4oD4)480,651
C30.162(C4○D4) = Dic15.48D4φ: C4○D4/C22 → C22 ⊆ Aut C30240C30.162(C4oD4)480,652
C30.163(C4○D4) = C4×Dic30φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.163(C4oD4)480,833
C30.164(C4○D4) = C60.24Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.164(C4oD4)480,835
C30.165(C4○D4) = C42⋊2D15φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.165(C4oD4)480,837
C30.166(C4○D4) = C4×D60φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.166(C4oD4)480,838
C30.167(C4○D4) = C42⋊7D15φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.167(C4oD4)480,840
C30.168(C4○D4) = C42⋊3D15φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.168(C4oD4)480,841
C30.169(C4○D4) = D30.28D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.169(C4oD4)480,848
C30.170(C4○D4) = D30⋊9D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.170(C4oD4)480,849
C30.171(C4○D4) = C23.11D30φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.171(C4oD4)480,850
C30.172(C4○D4) = Dic15.3Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.172(C4oD4)480,854
C30.173(C4○D4) = D30.29D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.173(C4oD4)480,859
C30.174(C4○D4) = D30⋊5Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.174(C4oD4)480,861
C30.175(C4○D4) = C60.205D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.175(C4oD4)480,889
C30.176(C4○D4) = C23.26D30φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.176(C4oD4)480,891
C30.177(C4○D4) = C4×C15⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.177(C4oD4)480,893
C30.178(C4○D4) = C23.28D30φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.178(C4oD4)480,894
C30.179(C4○D4) = C60⋊29D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.179(C4oD4)480,895
C30.180(C4○D4) = C12×Dic10φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.180(C4oD4)480,661
C30.181(C4○D4) = C3×C20.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.181(C4oD4)480,663
C30.182(C4○D4) = C3×C42⋊D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.182(C4oD4)480,665
C30.183(C4○D4) = C12×D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.183(C4oD4)480,666
C30.184(C4○D4) = C3×C4.D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.184(C4oD4)480,668
C30.185(C4○D4) = C3×C42⋊2D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.185(C4oD4)480,669
C30.186(C4○D4) = C3×C23.D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.186(C4oD4)480,672
C30.187(C4○D4) = C3×D10.12D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.187(C4oD4)480,676
C30.188(C4○D4) = C3×D10⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.188(C4oD4)480,677
C30.189(C4○D4) = C3×D10.13D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.189(C4oD4)480,687
C30.190(C4○D4) = C3×D10⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.190(C4oD4)480,689
C30.191(C4○D4) = C3×C4⋊C4⋊D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.191(C4oD4)480,691
C30.192(C4○D4) = C3×C20.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.192(C4oD4)480,717
C30.193(C4○D4) = C3×C23.21D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.193(C4oD4)480,719
C30.194(C4○D4) = C12×C5⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.194(C4oD4)480,721
C30.195(C4○D4) = C3×C23.23D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.195(C4oD4)480,722
C30.196(C4○D4) = C3×C20⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.196(C4oD4)480,723
C30.197(C4○D4) = C20×Dic6φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.197(C4oD4)480,747
C30.198(C4○D4) = C5×C12.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.198(C4oD4)480,749
C30.199(C4○D4) = C5×C42⋊2S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.199(C4oD4)480,751
C30.200(C4○D4) = C20×D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.200(C4oD4)480,752
C30.201(C4○D4) = C5×C42⋊7S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.201(C4oD4)480,754
C30.202(C4○D4) = C5×C42⋊3S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.202(C4oD4)480,755
C30.203(C4○D4) = C5×C23.8D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.203(C4oD4)480,758
C30.204(C4○D4) = C5×Dic3⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.204(C4oD4)480,763
C30.205(C4○D4) = C5×Dic3.Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30480C30.205(C4oD4)480,768
C30.206(C4○D4) = C5×D6⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.206(C4oD4)480,775
C30.207(C4○D4) = C5×C4⋊C4⋊S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.207(C4oD4)480,777
C30.208(C4○D4) = C5×C12.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.208(C4oD4)480,803
C30.209(C4○D4) = C5×C23.26D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.209(C4oD4)480,805
C30.210(C4○D4) = C20×C3⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.210(C4oD4)480,807
C30.211(C4○D4) = C5×C23.28D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.211(C4oD4)480,808
C30.212(C4○D4) = C5×C12⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C30240C30.212(C4oD4)480,809
C30.213(C4○D4) = C23.15D30φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.213(C4oD4)480,842
C30.214(C4○D4) = C22⋊2Dic30φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.214(C4oD4)480,843
C30.215(C4○D4) = C23.8D30φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.215(C4oD4)480,844
C30.216(C4○D4) = Dic15⋊19D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.216(C4oD4)480,846
C30.217(C4○D4) = C22.D60φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.217(C4oD4)480,851
C30.218(C4○D4) = Dic15⋊10Q8φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.218(C4oD4)480,852
C30.219(C4○D4) = C4.Dic30φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.219(C4oD4)480,855
C30.220(C4○D4) = D30⋊6Q8φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.220(C4oD4)480,862
C30.221(C4○D4) = C4⋊C4⋊D15φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.221(C4oD4)480,863
C30.222(C4○D4) = D4×Dic15φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.222(C4oD4)480,899
C30.223(C4○D4) = C23.22D30φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.223(C4oD4)480,900
C30.224(C4○D4) = C60.17D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.224(C4oD4)480,901
C30.225(C4○D4) = C60⋊2D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.225(C4oD4)480,903
C30.226(C4○D4) = Dic15⋊12D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.226(C4oD4)480,904
C30.227(C4○D4) = C3×C23.11D10φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.227(C4oD4)480,670
C30.228(C4○D4) = C3×Dic5.14D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.228(C4oD4)480,671
C30.229(C4○D4) = C3×Dic5⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.229(C4oD4)480,674
C30.230(C4○D4) = C3×Dic5.5D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.230(C4oD4)480,678
C30.231(C4○D4) = C3×C22.D20φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.231(C4oD4)480,679
C30.232(C4○D4) = C3×Dic5⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.232(C4oD4)480,680
C30.233(C4○D4) = C3×Dic5.Q8φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.233(C4oD4)480,682
C30.234(C4○D4) = C3×C4.Dic10φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.234(C4oD4)480,683
C30.235(C4○D4) = C3×C4⋊C4⋊7D5φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.235(C4oD4)480,685
C30.236(C4○D4) = C3×D10⋊2Q8φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.236(C4oD4)480,690
C30.237(C4○D4) = C3×D4×Dic5φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.237(C4oD4)480,727
C30.238(C4○D4) = C3×C23.18D10φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.238(C4oD4)480,728
C30.239(C4○D4) = C3×C20.17D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.239(C4oD4)480,729
C30.240(C4○D4) = C3×C20⋊2D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.240(C4oD4)480,731
C30.241(C4○D4) = C3×Dic5⋊D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.241(C4oD4)480,732
C30.242(C4○D4) = C5×C23.16D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.242(C4oD4)480,756
C30.243(C4○D4) = C5×Dic3.D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.243(C4oD4)480,757
C30.244(C4○D4) = C5×Dic3⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.244(C4oD4)480,760
C30.245(C4○D4) = C5×C23.9D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.245(C4oD4)480,762
C30.246(C4○D4) = C5×C23.11D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.246(C4oD4)480,764
C30.247(C4○D4) = C5×C23.21D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.247(C4oD4)480,765
C30.248(C4○D4) = C5×Dic6⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.248(C4oD4)480,766
C30.249(C4○D4) = C5×C4.Dic6φ: C4○D4/D4 → C2 ⊆ Aut C30480C30.249(C4oD4)480,769
C30.250(C4○D4) = C5×C4⋊C4⋊7S3φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.250(C4oD4)480,771
C30.251(C4○D4) = C5×C4.D12φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.251(C4oD4)480,776
C30.252(C4○D4) = C5×D4×Dic3φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.252(C4oD4)480,813
C30.253(C4○D4) = C5×C23.23D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.253(C4oD4)480,814
C30.254(C4○D4) = C5×C23.12D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.254(C4oD4)480,815
C30.255(C4○D4) = C5×D6⋊3D4φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.255(C4oD4)480,817
C30.256(C4○D4) = C5×C23.14D6φ: C4○D4/D4 → C2 ⊆ Aut C30240C30.256(C4oD4)480,818
C30.257(C4○D4) = C4⋊C4⋊7D15φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.257(C4oD4)480,857
C30.258(C4○D4) = D60⋊11C4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.258(C4oD4)480,858
C30.259(C4○D4) = C4⋊D60φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.259(C4oD4)480,860
C30.260(C4○D4) = Q8×Dic15φ: C4○D4/Q8 → C2 ⊆ Aut C30480C30.260(C4oD4)480,910
C30.261(C4○D4) = D30⋊7Q8φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.261(C4oD4)480,911
C30.262(C4○D4) = C60.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.262(C4oD4)480,912
C30.263(C4○D4) = C3×D20⋊8C4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.263(C4oD4)480,686
C30.264(C4○D4) = C3×C4⋊D20φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.264(C4oD4)480,688
C30.265(C4○D4) = C3×Q8×Dic5φ: C4○D4/Q8 → C2 ⊆ Aut C30480C30.265(C4oD4)480,738
C30.266(C4○D4) = C3×D10⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.266(C4oD4)480,739
C30.267(C4○D4) = C3×C20.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.267(C4oD4)480,740
C30.268(C4○D4) = C5×Dic3⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.268(C4oD4)480,772
C30.269(C4○D4) = C5×D6.D4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.269(C4oD4)480,773
C30.270(C4○D4) = C5×C12⋊D4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.270(C4oD4)480,774
C30.271(C4○D4) = C5×Q8×Dic3φ: C4○D4/Q8 → C2 ⊆ Aut C30480C30.271(C4oD4)480,824
C30.272(C4○D4) = C5×D6⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.272(C4oD4)480,825
C30.273(C4○D4) = C5×C12.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C30240C30.273(C4oD4)480,826
C30.274(C4○D4) = C15×C42⋊C2central extension (φ=1)240C30.274(C4oD4)480,922
C30.275(C4○D4) = D4×C60central extension (φ=1)240C30.275(C4oD4)480,923
C30.276(C4○D4) = Q8×C60central extension (φ=1)480C30.276(C4oD4)480,924
C30.277(C4○D4) = C15×C4⋊D4central extension (φ=1)240C30.277(C4oD4)480,926
C30.278(C4○D4) = C15×C22⋊Q8central extension (φ=1)240C30.278(C4oD4)480,927
C30.279(C4○D4) = C15×C22.D4central extension (φ=1)240C30.279(C4oD4)480,928
C30.280(C4○D4) = C15×C4.4D4central extension (φ=1)240C30.280(C4oD4)480,929
C30.281(C4○D4) = C15×C42.C2central extension (φ=1)480C30.281(C4oD4)480,930
C30.282(C4○D4) = C15×C42⋊2C2central extension (φ=1)240C30.282(C4oD4)480,931

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