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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C5⋊D4

Direct product G=N×Q with N=C6 and Q=C2×C5⋊D4
dρLabelID
C2×C6×C5⋊D4240C2xC6xC5:D4480,1149

Semidirect products G=N:Q with N=C6 and Q=C2×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C5⋊D4) = C22×C5⋊D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6:1(C2xC5:D4)480,1120
C6⋊2(C2×C5⋊D4) = C2×S3×C5⋊D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6120C6:2(C2xC5:D4)480,1123
C6⋊3(C2×C5⋊D4) = C22×C15⋊D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6:3(C2xC5:D4)480,1118
C6⋊4(C2×C5⋊D4) = C22×C15⋊7D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6:4(C2xC5:D4)480,1179

Non-split extensions G=N.Q with N=C6 and Q=C2×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C5⋊D4) = C2×C5⋊D24φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.1(C2xC5:D4)480,378
C6.2(C2×C5⋊D4) = C20.60D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C62404C6.2(C2xC5:D4)480,379
C6.3(C2×C5⋊D4) = D60⋊36C22φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C61204C6.3(C2xC5:D4)480,380
C6.4(C2×C5⋊D4) = C60.38D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C61204+C6.4(C2xC5:D4)480,381
C6.5(C2×C5⋊D4) = C2×D12.D5φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.5(C2xC5:D4)480,392
C6.6(C2×C5⋊D4) = C2×Dic6⋊D5φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.6(C2xC5:D4)480,393
C6.7(C2×C5⋊D4) = C2×C5⋊Dic12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6480C6.7(C2xC5:D4)480,396
C6.8(C2×C5⋊D4) = C20.D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C62404C6.8(C2xC5:D4)480,397
C6.9(C2×C5⋊D4) = D12.33D10φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C62404-C6.9(C2xC5:D4)480,398
C6.10(C2×C5⋊D4) = C60.45D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.10(C2xC5:D4)480,441
C6.11(C2×C5⋊D4) = C60.69D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.11(C2xC5:D4)480,449
C6.12(C2×C5⋊D4) = C60.70D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.12(C2xC5:D4)480,451
C6.13(C2×C5⋊D4) = Dic5⋊Dic6φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6480C6.13(C2xC5:D4)480,452
C6.14(C2×C5⋊D4) = D30⋊9Q8φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.14(C2xC5:D4)480,459
C6.15(C2×C5⋊D4) = C4×C5⋊D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.15(C2xC5:D4)480,521
C6.16(C2×C5⋊D4) = C20⋊D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.16(C2xC5:D4)480,527
C6.17(C2×C5⋊D4) = C60⋊6D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.17(C2xC5:D4)480,536
C6.18(C2×C5⋊D4) = C20⋊2D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.18(C2xC5:D4)480,542
C6.19(C2×C5⋊D4) = C2×D30⋊4C4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.19(C2xC5:D4)480,616
C6.20(C2×C5⋊D4) = C2×C30.Q8φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6480C6.20(C2xC5:D4)480,617
C6.21(C2×C5⋊D4) = C10.(C2×D12)φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.21(C2xC5:D4)480,618
C6.22(C2×C5⋊D4) = (C2×C10).D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.22(C2xC5:D4)480,619
C6.23(C2×C5⋊D4) = (C2×C10)⋊4D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6240C6.23(C2xC5:D4)480,642
C6.24(C2×C5⋊D4) = (C2×C10)⋊11D12φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6120C6.24(C2xC5:D4)480,646
C6.25(C2×C5⋊D4) = D30⋊19D4φ: C2×C5⋊D4/C2×Dic5 → C2 ⊆ Aut C6120C6.25(C2xC5:D4)480,649
C6.26(C2×C5⋊D4) = Dic15⋊Q8φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6480C6.26(C2xC5:D4)480,405
C6.27(C2×C5⋊D4) = D6⋊Dic5⋊C2φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.27(C2xC5:D4)480,427
C6.28(C2×C5⋊D4) = D6⋊Dic10φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.28(C2xC5:D4)480,428
C6.29(C2×C5⋊D4) = S3×C10.D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.29(C2xC5:D4)480,475
C6.30(C2×C5⋊D4) = Dic5⋊D12φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.30(C2xC5:D4)480,492
C6.31(C2×C5⋊D4) = D10⋊1Dic6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.31(C2xC5:D4)480,497
C6.32(C2×C5⋊D4) = (C2×D12).D5φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.32(C2xC5:D4)480,499
C6.33(C2×C5⋊D4) = D30⋊3Q8φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.33(C2xC5:D4)480,500
C6.34(C2×C5⋊D4) = C15⋊17(C4×D4)φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.34(C2xC5:D4)480,517
C6.35(C2×C5⋊D4) = C15⋊22(C4×D4)φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.35(C2xC5:D4)480,522
C6.36(C2×C5⋊D4) = D10⋊C4⋊S3φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.36(C2xC5:D4)480,528
C6.37(C2×C5⋊D4) = Dic15⋊2D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.37(C2xC5:D4)480,529
C6.38(C2×C5⋊D4) = D6⋊D20φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.38(C2xC5:D4)480,530
C6.39(C2×C5⋊D4) = (C2×Dic6)⋊D5φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.39(C2xC5:D4)480,531
C6.40(C2×C5⋊D4) = S3×D10⋊C4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6120C6.40(C2xC5:D4)480,548
C6.41(C2×C5⋊D4) = D30⋊4D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6120C6.41(C2xC5:D4)480,551
C6.42(C2×C5⋊D4) = S3×D4⋊D5φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208+C6.42(C2xC5:D4)480,555
C6.43(C2×C5⋊D4) = D60.C22φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208+C6.43(C2xC5:D4)480,556
C6.44(C2×C5⋊D4) = S3×D4.D5φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208-C6.44(C2xC5:D4)480,561
C6.45(C2×C5⋊D4) = C60.10C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408-C6.45(C2xC5:D4)480,562
C6.46(C2×C5⋊D4) = D20.24D6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408-C6.46(C2xC5:D4)480,569
C6.47(C2×C5⋊D4) = D20⋊10D6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208-C6.47(C2xC5:D4)480,570
C6.48(C2×C5⋊D4) = C60.19C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408+C6.48(C2xC5:D4)480,571
C6.49(C2×C5⋊D4) = D12.9D10φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208+C6.49(C2xC5:D4)480,572
C6.50(C2×C5⋊D4) = S3×Q8⋊D5φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208+C6.50(C2xC5:D4)480,579
C6.51(C2×C5⋊D4) = D12⋊D10φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C61208+C6.51(C2xC5:D4)480,580
C6.52(C2×C5⋊D4) = S3×C5⋊Q16φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408-C6.52(C2xC5:D4)480,585
C6.53(C2×C5⋊D4) = Dic10.26D6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408-C6.53(C2xC5:D4)480,586
C6.54(C2×C5⋊D4) = D20.27D6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408-C6.54(C2xC5:D4)480,593
C6.55(C2×C5⋊D4) = D20.28D6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408-C6.55(C2xC5:D4)480,594
C6.56(C2×C5⋊D4) = Dic10.27D6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408+C6.56(C2xC5:D4)480,595
C6.57(C2×C5⋊D4) = C60.44C23φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C62408+C6.57(C2xC5:D4)480,596
C6.58(C2×C5⋊D4) = C23.D5⋊S3φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.58(C2xC5:D4)480,601
C6.59(C2×C5⋊D4) = (C6×D5)⋊D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.59(C2xC5:D4)480,625
C6.60(C2×C5⋊D4) = Dic3×C5⋊D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.60(C2xC5:D4)480,629
C6.61(C2×C5⋊D4) = S3×C23.D5φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6120C6.61(C2xC5:D4)480,630
C6.62(C2×C5⋊D4) = (S3×C10).D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.62(C2xC5:D4)480,631
C6.63(C2×C5⋊D4) = C15⋊28(C4×D4)φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.63(C2xC5:D4)480,632
C6.64(C2×C5⋊D4) = D30⋊7D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.64(C2xC5:D4)480,633
C6.65(C2×C5⋊D4) = Dic15⋊4D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.65(C2xC5:D4)480,634
C6.66(C2×C5⋊D4) = (S3×C10)⋊D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.66(C2xC5:D4)480,641
C6.67(C2×C5⋊D4) = Dic15⋊5D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.67(C2xC5:D4)480,643
C6.68(C2×C5⋊D4) = (C2×C6)⋊D20φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.68(C2xC5:D4)480,645
C6.69(C2×C5⋊D4) = (C2×C10)⋊8Dic6φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6240C6.69(C2xC5:D4)480,651
C6.70(C2×C5⋊D4) = D30⋊8D4φ: C2×C5⋊D4/C5⋊D4 → C2 ⊆ Aut C6120C6.70(C2xC5:D4)480,653
C6.71(C2×C5⋊D4) = C2×C15⋊D8φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.71(C2xC5:D4)480,372
C6.72(C2×C5⋊D4) = D20.34D6φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C62404C6.72(C2xC5:D4)480,373
C6.73(C2×C5⋊D4) = C60.36D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C61204C6.73(C2xC5:D4)480,374
C6.74(C2×C5⋊D4) = D20⋊21D6φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C61204C6.74(C2xC5:D4)480,375
C6.75(C2×C5⋊D4) = C2×C30.D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.75(C2xC5:D4)480,382
C6.76(C2×C5⋊D4) = D20.37D6φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C62404C6.76(C2xC5:D4)480,383
C6.77(C2×C5⋊D4) = C2×C20.D6φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.77(C2xC5:D4)480,384
C6.78(C2×C5⋊D4) = D12.37D10φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C62404C6.78(C2xC5:D4)480,385
C6.79(C2×C5⋊D4) = C2×C15⋊Q16φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6480C6.79(C2xC5:D4)480,394
C6.80(C2×C5⋊D4) = C60.67D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.80(C2xC5:D4)480,435
C6.81(C2×C5⋊D4) = C60.88D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.81(C2xC5:D4)480,444
C6.82(C2×C5⋊D4) = C60.46D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.82(C2xC5:D4)480,445
C6.83(C2×C5⋊D4) = C60.89D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.83(C2xC5:D4)480,446
C6.84(C2×C5⋊D4) = Dic15⋊8Q8φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6480C6.84(C2xC5:D4)480,461
C6.85(C2×C5⋊D4) = C4×C15⋊D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.85(C2xC5:D4)480,515
C6.86(C2×C5⋊D4) = C60⋊D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.86(C2xC5:D4)480,525
C6.87(C2×C5⋊D4) = C60⋊4D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.87(C2xC5:D4)480,532
C6.88(C2×C5⋊D4) = C60⋊10D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.88(C2xC5:D4)480,539
C6.89(C2×C5⋊D4) = C2×D10⋊Dic3φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.89(C2xC5:D4)480,611
C6.90(C2×C5⋊D4) = (C2×C30).D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.90(C2xC5:D4)480,612
C6.91(C2×C5⋊D4) = C2×D6⋊Dic5φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.91(C2xC5:D4)480,614
C6.92(C2×C5⋊D4) = C30.(C2×D4)φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.92(C2xC5:D4)480,615
C6.93(C2×C5⋊D4) = C2×Dic15⋊5C4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6480C6.93(C2xC5:D4)480,620
C6.94(C2×C5⋊D4) = (C2×C30)⋊D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6120C6.94(C2xC5:D4)480,639
C6.95(C2×C5⋊D4) = C15⋊C22≀C2φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6120C6.95(C2xC5:D4)480,644
C6.96(C2×C5⋊D4) = Dic15⋊18D4φ: C2×C5⋊D4/C22×D5 → C2 ⊆ Aut C6240C6.96(C2xC5:D4)480,647
C6.97(C2×C5⋊D4) = C2×C30.4Q8φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6480C6.97(C2xC5:D4)480,888
C6.98(C2×C5⋊D4) = C60.205D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.98(C2xC5:D4)480,889
C6.99(C2×C5⋊D4) = C2×D30⋊3C4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.99(C2xC5:D4)480,892
C6.100(C2×C5⋊D4) = C4×C15⋊7D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.100(C2xC5:D4)480,893
C6.101(C2×C5⋊D4) = C23.28D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.101(C2xC5:D4)480,894
C6.102(C2×C5⋊D4) = C60⋊29D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.102(C2xC5:D4)480,895
C6.103(C2×C5⋊D4) = C2×D4⋊D15φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.103(C2xC5:D4)480,896
C6.104(C2×C5⋊D4) = D4.D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C61204C6.104(C2xC5:D4)480,897
C6.105(C2×C5⋊D4) = C2×D4.D15φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.105(C2xC5:D4)480,898
C6.106(C2×C5⋊D4) = C23.22D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.106(C2xC5:D4)480,900
C6.107(C2×C5⋊D4) = C60.17D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.107(C2xC5:D4)480,901
C6.108(C2×C5⋊D4) = D30⋊17D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6120C6.108(C2xC5:D4)480,902
C6.109(C2×C5⋊D4) = C60⋊2D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.109(C2xC5:D4)480,903
C6.110(C2×C5⋊D4) = Dic15⋊12D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.110(C2xC5:D4)480,904
C6.111(C2×C5⋊D4) = C60⋊3D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.111(C2xC5:D4)480,905
C6.112(C2×C5⋊D4) = C2×Q8⋊2D15φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.112(C2xC5:D4)480,906
C6.113(C2×C5⋊D4) = Q8.11D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C62404C6.113(C2xC5:D4)480,907
C6.114(C2×C5⋊D4) = C2×C15⋊7Q16φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6480C6.114(C2xC5:D4)480,908
C6.115(C2×C5⋊D4) = Dic15⋊4Q8φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6480C6.115(C2xC5:D4)480,909
C6.116(C2×C5⋊D4) = D30⋊7Q8φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.116(C2xC5:D4)480,911
C6.117(C2×C5⋊D4) = C60.23D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.117(C2xC5:D4)480,912
C6.118(C2×C5⋊D4) = D4⋊D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C61204+C6.118(C2xC5:D4)480,914
C6.119(C2×C5⋊D4) = D4.8D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C62404C6.119(C2xC5:D4)480,915
C6.120(C2×C5⋊D4) = D4.9D30φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C62404-C6.120(C2xC5:D4)480,916
C6.121(C2×C5⋊D4) = C2×C30.38D4φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6240C6.121(C2xC5:D4)480,917
C6.122(C2×C5⋊D4) = C24⋊5D15φ: C2×C5⋊D4/C22×C10 → C2 ⊆ Aut C6120C6.122(C2xC5:D4)480,918
C6.123(C2×C5⋊D4) = C6×C10.D4central extension (φ=1)480C6.123(C2xC5:D4)480,716
C6.124(C2×C5⋊D4) = C3×C20.48D4central extension (φ=1)240C6.124(C2xC5:D4)480,717
C6.125(C2×C5⋊D4) = C6×D10⋊C4central extension (φ=1)240C6.125(C2xC5:D4)480,720
C6.126(C2×C5⋊D4) = C12×C5⋊D4central extension (φ=1)240C6.126(C2xC5:D4)480,721
C6.127(C2×C5⋊D4) = C3×C23.23D10central extension (φ=1)240C6.127(C2xC5:D4)480,722
C6.128(C2×C5⋊D4) = C3×C20⋊7D4central extension (φ=1)240C6.128(C2xC5:D4)480,723
C6.129(C2×C5⋊D4) = C6×D4⋊D5central extension (φ=1)240C6.129(C2xC5:D4)480,724
C6.130(C2×C5⋊D4) = C3×D4.D10central extension (φ=1)1204C6.130(C2xC5:D4)480,725
C6.131(C2×C5⋊D4) = C6×D4.D5central extension (φ=1)240C6.131(C2xC5:D4)480,726
C6.132(C2×C5⋊D4) = C3×C23.18D10central extension (φ=1)240C6.132(C2xC5:D4)480,728
C6.133(C2×C5⋊D4) = C3×C20.17D4central extension (φ=1)240C6.133(C2xC5:D4)480,729
C6.134(C2×C5⋊D4) = C3×C23⋊D10central extension (φ=1)120C6.134(C2xC5:D4)480,730
C6.135(C2×C5⋊D4) = C3×C20⋊2D4central extension (φ=1)240C6.135(C2xC5:D4)480,731
C6.136(C2×C5⋊D4) = C3×Dic5⋊D4central extension (φ=1)240C6.136(C2xC5:D4)480,732
C6.137(C2×C5⋊D4) = C3×C20⋊D4central extension (φ=1)240C6.137(C2xC5:D4)480,733
C6.138(C2×C5⋊D4) = C6×Q8⋊D5central extension (φ=1)240C6.138(C2xC5:D4)480,734
C6.139(C2×C5⋊D4) = C3×C20.C23central extension (φ=1)2404C6.139(C2xC5:D4)480,735
C6.140(C2×C5⋊D4) = C6×C5⋊Q16central extension (φ=1)480C6.140(C2xC5:D4)480,736
C6.141(C2×C5⋊D4) = C3×Dic5⋊Q8central extension (φ=1)480C6.141(C2xC5:D4)480,737
C6.142(C2×C5⋊D4) = C3×D10⋊3Q8central extension (φ=1)240C6.142(C2xC5:D4)480,739
C6.143(C2×C5⋊D4) = C3×C20.23D4central extension (φ=1)240C6.143(C2xC5:D4)480,740
C6.144(C2×C5⋊D4) = C3×D4⋊D10central extension (φ=1)1204C6.144(C2xC5:D4)480,742
C6.145(C2×C5⋊D4) = C3×D4.8D10central extension (φ=1)2404C6.145(C2xC5:D4)480,743
C6.146(C2×C5⋊D4) = C3×D4.9D10central extension (φ=1)2404C6.146(C2xC5:D4)480,744
C6.147(C2×C5⋊D4) = C6×C23.D5central extension (φ=1)240C6.147(C2xC5:D4)480,745
C6.148(C2×C5⋊D4) = C3×C24⋊2D5central extension (φ=1)120C6.148(C2xC5:D4)480,746

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