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Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C3⋊D4

Direct product G=N×Q with N=C10 and Q=C2×C3⋊D4
dρLabelID
C2×C10×C3⋊D4240C2xC10xC3:D4480,1164

Semidirect products G=N:Q with N=C10 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C10⋊1(C2×C3⋊D4) = C22×C3⋊D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10:1(C2xC3:D4)480,1119
C10⋊2(C2×C3⋊D4) = C2×D5×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10:2(C2xC3:D4)480,1122
C10⋊3(C2×C3⋊D4) = C22×C15⋊D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10:3(C2xC3:D4)480,1118
C10⋊4(C2×C3⋊D4) = C22×C15⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10:4(C2xC3:D4)480,1179

Non-split extensions G=N.Q with N=C10 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C10.1(C2×C3⋊D4) = C2×C3⋊D40φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.1(C2xC3:D4)480,376
C10.2(C2×C3⋊D4) = D20⋊19D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C101204+C10.2(C2xC3:D4)480,377
C10.3(C2×C3⋊D4) = C2×C6.D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.3(C2xC3:D4)480,386
C10.4(C2×C3⋊D4) = D20.31D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C102404C10.4(C2xC3:D4)480,387
C10.5(C2×C3⋊D4) = D60⋊30C22φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C101204C10.5(C2xC3:D4)480,388
C10.6(C2×C3⋊D4) = C60.63D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C102404-C10.6(C2xC3:D4)480,389
C10.7(C2×C3⋊D4) = C2×C15⋊SD16φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.7(C2xC3:D4)480,390
C10.8(C2×C3⋊D4) = C12.D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C102404C10.8(C2xC3:D4)480,391
C10.9(C2×C3⋊D4) = C2×C3⋊Dic20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10480C10.9(C2xC3:D4)480,395
C10.10(C2×C3⋊D4) = C60.68D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.10(C2xC3:D4)480,436
C10.11(C2×C3⋊D4) = C60.44D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.11(C2xC3:D4)480,440
C10.12(C2×C3⋊D4) = C60.47D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.12(C2xC3:D4)480,450
C10.13(C2×C3⋊D4) = C60.48D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10480C10.13(C2xC3:D4)480,465
C10.14(C2×C3⋊D4) = D30⋊10Q8φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.14(C2xC3:D4)480,466
C10.15(C2×C3⋊D4) = C4×C3⋊D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.15(C2xC3:D4)480,519
C10.16(C2×C3⋊D4) = C12⋊7D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.16(C2xC3:D4)480,526
C10.17(C2×C3⋊D4) = C12⋊D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.17(C2xC3:D4)480,534
C10.18(C2×C3⋊D4) = C12⋊2D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.18(C2xC3:D4)480,541
C10.19(C2×C3⋊D4) = C6.(C2×D20)φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.19(C2xC3:D4)480,613
C10.20(C2×C3⋊D4) = C2×D30⋊4C4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.20(C2xC3:D4)480,616
C10.21(C2×C3⋊D4) = C2×C6.Dic10φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10480C10.21(C2xC3:D4)480,621
C10.22(C2×C3⋊D4) = C6.D4⋊D5φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.22(C2xC3:D4)480,622
C10.23(C2×C3⋊D4) = (C2×C6)⋊D20φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10240C10.23(C2xC3:D4)480,645
C10.24(C2×C3⋊D4) = D30⋊18D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C10120C10.24(C2xC3:D4)480,648
C10.25(C2×C3⋊D4) = (C2×C20).D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.25(C2xC3:D4)480,402
C10.26(C2×C3⋊D4) = Dic15⋊1Q8φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10480C10.26(C2xC3:D4)480,403
C10.27(C2×C3⋊D4) = Dic3⋊C4⋊D5φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.27(C2xC3:D4)480,424
C10.28(C2×C3⋊D4) = D10⋊Dic6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.28(C2xC3:D4)480,425
C10.29(C2×C3⋊D4) = D5×Dic3⋊C4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.29(C2xC3:D4)480,468
C10.30(C2×C3⋊D4) = (C6×D5).D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.30(C2xC3:D4)480,483
C10.31(C2×C3⋊D4) = Dic15⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.31(C2xC3:D4)480,484
C10.32(C2×C3⋊D4) = Dic3⋊D20φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.32(C2xC3:D4)480,485
C10.33(C2×C3⋊D4) = D6⋊1Dic10φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.33(C2xC3:D4)480,486
C10.34(C2×C3⋊D4) = D30⋊Q8φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.34(C2xC3:D4)480,487
C10.35(C2×C3⋊D4) = D6⋊(C4×D5)φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.35(C2xC3:D4)480,516
C10.36(C2×C3⋊D4) = C15⋊20(C4×D4)φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.36(C2xC3:D4)480,520
C10.37(C2×C3⋊D4) = D6⋊C4⋊D5φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.37(C2xC3:D4)480,523
C10.38(C2×C3⋊D4) = D10⋊D12φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.38(C2xC3:D4)480,524
C10.39(C2×C3⋊D4) = D5×D6⋊C4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10.39(C2xC3:D4)480,547
C10.40(C2×C3⋊D4) = D6⋊4D20φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10.40(C2xC3:D4)480,550
C10.41(C2×C3⋊D4) = D5×D4⋊S3φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.41(C2xC3:D4)480,553
C10.42(C2×C3⋊D4) = Dic10⋊3D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.42(C2xC3:D4)480,554
C10.43(C2×C3⋊D4) = D5×D4.S3φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208-C10.43(C2xC3:D4)480,559
C10.44(C2×C3⋊D4) = C60.8C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.44(C2xC3:D4)480,560
C10.45(C2×C3⋊D4) = D12⋊10D10φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208-C10.45(C2xC3:D4)480,565
C10.46(C2×C3⋊D4) = D12.24D10φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.46(C2xC3:D4)480,566
C10.47(C2×C3⋊D4) = D20.9D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.47(C2xC3:D4)480,567
C10.48(C2×C3⋊D4) = C60.16C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408+C10.48(C2xC3:D4)480,568
C10.49(C2×C3⋊D4) = D5×Q8⋊2S3φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.49(C2xC3:D4)480,577
C10.50(C2×C3⋊D4) = D20⋊D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.50(C2xC3:D4)480,578
C10.51(C2×C3⋊D4) = D5×C3⋊Q16φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.51(C2xC3:D4)480,583
C10.52(C2×C3⋊D4) = D20.13D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.52(C2xC3:D4)480,584
C10.53(C2×C3⋊D4) = D12.27D10φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.53(C2xC3:D4)480,589
C10.54(C2×C3⋊D4) = D20.14D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.54(C2xC3:D4)480,590
C10.55(C2×C3⋊D4) = C60.39C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408+C10.55(C2xC3:D4)480,591
C10.56(C2×C3⋊D4) = D20.D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C102408+C10.56(C2xC3:D4)480,592
C10.57(C2×C3⋊D4) = D30⋊6D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.57(C2xC3:D4)480,609
C10.58(C2×C3⋊D4) = C6.(D4×D5)φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.58(C2xC3:D4)480,610
C10.59(C2×C3⋊D4) = D5×C6.D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10.59(C2xC3:D4)480,623
C10.60(C2×C3⋊D4) = C23.17(S3×D5)φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.60(C2xC3:D4)480,624
C10.61(C2×C3⋊D4) = (C6×D5)⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.61(C2xC3:D4)480,625
C10.62(C2×C3⋊D4) = Dic15⋊3D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.62(C2xC3:D4)480,626
C10.63(C2×C3⋊D4) = Dic5×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.63(C2xC3:D4)480,627
C10.64(C2×C3⋊D4) = C15⋊26(C4×D4)φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.64(C2xC3:D4)480,628
C10.65(C2×C3⋊D4) = (C2×C30)⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10.65(C2xC3:D4)480,639
C10.66(C2×C3⋊D4) = (C2×C6)⋊8D20φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10.66(C2xC3:D4)480,640
C10.67(C2×C3⋊D4) = (S3×C10)⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.67(C2xC3:D4)480,641
C10.68(C2×C3⋊D4) = (C2×C10)⋊4D12φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.68(C2xC3:D4)480,642
C10.69(C2×C3⋊D4) = Dic15⋊5D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.69(C2xC3:D4)480,643
C10.70(C2×C3⋊D4) = (C2×C30)⋊Q8φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10240C10.70(C2xC3:D4)480,650
C10.71(C2×C3⋊D4) = D30⋊8D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C10120C10.71(C2xC3:D4)480,653
C10.72(C2×C3⋊D4) = C2×C15⋊D8φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.72(C2xC3:D4)480,372
C10.73(C2×C3⋊D4) = D20.34D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C102404C10.73(C2xC3:D4)480,373
C10.74(C2×C3⋊D4) = C60.36D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C101204C10.74(C2xC3:D4)480,374
C10.75(C2×C3⋊D4) = D20⋊21D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C101204C10.75(C2xC3:D4)480,375
C10.76(C2×C3⋊D4) = C2×C30.D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.76(C2xC3:D4)480,382
C10.77(C2×C3⋊D4) = D20.37D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C102404C10.77(C2xC3:D4)480,383
C10.78(C2×C3⋊D4) = C2×C20.D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.78(C2xC3:D4)480,384
C10.79(C2×C3⋊D4) = D12.37D10φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C102404C10.79(C2xC3:D4)480,385
C10.80(C2×C3⋊D4) = C2×C15⋊Q16φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10480C10.80(C2xC3:D4)480,394
C10.81(C2×C3⋊D4) = C60.67D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.81(C2xC3:D4)480,435
C10.82(C2×C3⋊D4) = C60.88D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.82(C2xC3:D4)480,444
C10.83(C2×C3⋊D4) = C60.46D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.83(C2xC3:D4)480,445
C10.84(C2×C3⋊D4) = C60.89D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.84(C2xC3:D4)480,446
C10.85(C2×C3⋊D4) = Dic15⋊8Q8φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10480C10.85(C2xC3:D4)480,461
C10.86(C2×C3⋊D4) = C4×C15⋊D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.86(C2xC3:D4)480,515
C10.87(C2×C3⋊D4) = C60⋊D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.87(C2xC3:D4)480,525
C10.88(C2×C3⋊D4) = C60⋊4D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.88(C2xC3:D4)480,532
C10.89(C2×C3⋊D4) = C60⋊10D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.89(C2xC3:D4)480,539
C10.90(C2×C3⋊D4) = C2×D10⋊Dic3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.90(C2xC3:D4)480,611
C10.91(C2×C3⋊D4) = (C2×C30).D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.91(C2xC3:D4)480,612
C10.92(C2×C3⋊D4) = C2×D6⋊Dic5φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.92(C2xC3:D4)480,614
C10.93(C2×C3⋊D4) = C30.(C2×D4)φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.93(C2xC3:D4)480,615
C10.94(C2×C3⋊D4) = C2×Dic15⋊5C4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10480C10.94(C2xC3:D4)480,620
C10.95(C2×C3⋊D4) = C15⋊C22≀C2φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10120C10.95(C2xC3:D4)480,644
C10.96(C2×C3⋊D4) = Dic15⋊18D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C10240C10.96(C2xC3:D4)480,647
C10.97(C2×C3⋊D4) = C2×C30.4Q8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10480C10.97(C2xC3:D4)480,888
C10.98(C2×C3⋊D4) = C60.205D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.98(C2xC3:D4)480,889
C10.99(C2×C3⋊D4) = C2×D30⋊3C4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.99(C2xC3:D4)480,892
C10.100(C2×C3⋊D4) = C4×C15⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.100(C2xC3:D4)480,893
C10.101(C2×C3⋊D4) = C23.28D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.101(C2xC3:D4)480,894
C10.102(C2×C3⋊D4) = C60⋊29D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.102(C2xC3:D4)480,895
C10.103(C2×C3⋊D4) = C2×D4⋊D15φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.103(C2xC3:D4)480,896
C10.104(C2×C3⋊D4) = D4.D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C101204C10.104(C2xC3:D4)480,897
C10.105(C2×C3⋊D4) = C2×D4.D15φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.105(C2xC3:D4)480,898
C10.106(C2×C3⋊D4) = C23.22D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.106(C2xC3:D4)480,900
C10.107(C2×C3⋊D4) = C60.17D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.107(C2xC3:D4)480,901
C10.108(C2×C3⋊D4) = D30⋊17D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10120C10.108(C2xC3:D4)480,902
C10.109(C2×C3⋊D4) = C60⋊2D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.109(C2xC3:D4)480,903
C10.110(C2×C3⋊D4) = Dic15⋊12D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.110(C2xC3:D4)480,904
C10.111(C2×C3⋊D4) = C60⋊3D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.111(C2xC3:D4)480,905
C10.112(C2×C3⋊D4) = C2×Q8⋊2D15φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.112(C2xC3:D4)480,906
C10.113(C2×C3⋊D4) = Q8.11D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C102404C10.113(C2xC3:D4)480,907
C10.114(C2×C3⋊D4) = C2×C15⋊7Q16φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10480C10.114(C2xC3:D4)480,908
C10.115(C2×C3⋊D4) = Dic15⋊4Q8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10480C10.115(C2xC3:D4)480,909
C10.116(C2×C3⋊D4) = D30⋊7Q8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.116(C2xC3:D4)480,911
C10.117(C2×C3⋊D4) = C60.23D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.117(C2xC3:D4)480,912
C10.118(C2×C3⋊D4) = D4⋊D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C101204+C10.118(C2xC3:D4)480,914
C10.119(C2×C3⋊D4) = D4.8D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C102404C10.119(C2xC3:D4)480,915
C10.120(C2×C3⋊D4) = D4.9D30φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C102404-C10.120(C2xC3:D4)480,916
C10.121(C2×C3⋊D4) = C2×C30.38D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10240C10.121(C2xC3:D4)480,917
C10.122(C2×C3⋊D4) = C24⋊5D15φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C10120C10.122(C2xC3:D4)480,918
C10.123(C2×C3⋊D4) = C10×Dic3⋊C4central extension (φ=1)480C10.123(C2xC3:D4)480,802
C10.124(C2×C3⋊D4) = C5×C12.48D4central extension (φ=1)240C10.124(C2xC3:D4)480,803
C10.125(C2×C3⋊D4) = C10×D6⋊C4central extension (φ=1)240C10.125(C2xC3:D4)480,806
C10.126(C2×C3⋊D4) = C20×C3⋊D4central extension (φ=1)240C10.126(C2xC3:D4)480,807
C10.127(C2×C3⋊D4) = C5×C23.28D6central extension (φ=1)240C10.127(C2xC3:D4)480,808
C10.128(C2×C3⋊D4) = C5×C12⋊7D4central extension (φ=1)240C10.128(C2xC3:D4)480,809
C10.129(C2×C3⋊D4) = C10×D4⋊S3central extension (φ=1)240C10.129(C2xC3:D4)480,810
C10.130(C2×C3⋊D4) = C5×D12⋊6C22central extension (φ=1)1204C10.130(C2xC3:D4)480,811
C10.131(C2×C3⋊D4) = C10×D4.S3central extension (φ=1)240C10.131(C2xC3:D4)480,812
C10.132(C2×C3⋊D4) = C5×C23.23D6central extension (φ=1)240C10.132(C2xC3:D4)480,814
C10.133(C2×C3⋊D4) = C5×C23.12D6central extension (φ=1)240C10.133(C2xC3:D4)480,815
C10.134(C2×C3⋊D4) = C5×C23⋊2D6central extension (φ=1)120C10.134(C2xC3:D4)480,816
C10.135(C2×C3⋊D4) = C5×D6⋊3D4central extension (φ=1)240C10.135(C2xC3:D4)480,817
C10.136(C2×C3⋊D4) = C5×C23.14D6central extension (φ=1)240C10.136(C2xC3:D4)480,818
C10.137(C2×C3⋊D4) = C5×C12⋊3D4central extension (φ=1)240C10.137(C2xC3:D4)480,819
C10.138(C2×C3⋊D4) = C10×Q8⋊2S3central extension (φ=1)240C10.138(C2xC3:D4)480,820
C10.139(C2×C3⋊D4) = C5×Q8.11D6central extension (φ=1)2404C10.139(C2xC3:D4)480,821
C10.140(C2×C3⋊D4) = C10×C3⋊Q16central extension (φ=1)480C10.140(C2xC3:D4)480,822
C10.141(C2×C3⋊D4) = C5×Dic3⋊Q8central extension (φ=1)480C10.141(C2xC3:D4)480,823
C10.142(C2×C3⋊D4) = C5×D6⋊3Q8central extension (φ=1)240C10.142(C2xC3:D4)480,825
C10.143(C2×C3⋊D4) = C5×C12.23D4central extension (φ=1)240C10.143(C2xC3:D4)480,826
C10.144(C2×C3⋊D4) = C5×D4⋊D6central extension (φ=1)1204C10.144(C2xC3:D4)480,828
C10.145(C2×C3⋊D4) = C5×Q8.13D6central extension (φ=1)2404C10.145(C2xC3:D4)480,829
C10.146(C2×C3⋊D4) = C5×Q8.14D6central extension (φ=1)2404C10.146(C2xC3:D4)480,830
C10.147(C2×C3⋊D4) = C10×C6.D4central extension (φ=1)240C10.147(C2xC3:D4)480,831
C10.148(C2×C3⋊D4) = C5×C24⋊4S3central extension (φ=1)120C10.148(C2xC3:D4)480,832

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