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Extensions 1→N→G→Q→1 with N=C6 and Q=D4:2D5

Direct product G=NxQ with N=C6 and Q=D4:2D5
dρLabelID
C6xD4:2D5240C6xD4:2D5480,1140

Semidirect products G=N:Q with N=C6 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C6:1(D4:2D5) = C2xD12:D5φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6:1(D4:2D5)480,1079
C6:2(D4:2D5) = C2xD12:5D5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6:2(D4:2D5)480,1084
C6:3(D4:2D5) = C2xDic3.D10φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6:3(D4:2D5)480,1116
C6:4(D4:2D5) = C2xC30.C23φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6:4(D4:2D5)480,1114
C6:5(D4:2D5) = C2xD4:2D15φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6:5(D4:2D5)480,1170

Non-split extensions G=N.Q with N=C6 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C6.1(D4:2D5) = (C2xC20).D6φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.1(D4:2D5)480,402
C6.2(D4:2D5) = Dic15:6Q8φ: D4:2D5/Dic10 → C2 ⊆ Aut C6480C6.2(D4:2D5)480,407
C6.3(D4:2D5) = Dic5.2Dic6φ: D4:2D5/Dic10 → C2 ⊆ Aut C6480C6.3(D4:2D5)480,411
C6.4(D4:2D5) = C4:Dic3:D5φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.4(D4:2D5)480,413
C6.5(D4:2D5) = (C4xD15):8C4φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.5(D4:2D5)480,423
C6.6(D4:2D5) = D30.35D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.6(D4:2D5)480,431
C6.7(D4:2D5) = D6:Dic5.C2φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.7(D4:2D5)480,443
C6.8(D4:2D5) = C60.89D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.8(D4:2D5)480,446
C6.9(D4:2D5) = C12.Dic10φ: D4:2D5/Dic10 → C2 ⊆ Aut C6480C6.9(D4:2D5)480,460
C6.10(D4:2D5) = D30:10Q8φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.10(D4:2D5)480,466
C6.11(D4:2D5) = Dic15:14D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.11(D4:2D5)480,482
C6.12(D4:2D5) = D6:1Dic10φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.12(D4:2D5)480,486
C6.13(D4:2D5) = Dic5:D12φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.13(D4:2D5)480,492
C6.14(D4:2D5) = Dic15:8D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.14(D4:2D5)480,511
C6.15(D4:2D5) = C20:2D12φ: D4:2D5/Dic10 → C2 ⊆ Aut C6240C6.15(D4:2D5)480,542
C6.16(D4:2D5) = Dic30:17C4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6480C6.16(D4:2D5)480,409
C6.17(D4:2D5) = Dic15.Q8φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6480C6.17(D4:2D5)480,412
C6.18(D4:2D5) = C60:5C4:C2φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.18(D4:2D5)480,418
C6.19(D4:2D5) = (C4xD5):Dic3φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.19(D4:2D5)480,434
C6.20(D4:2D5) = C60.68D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.20(D4:2D5)480,436
C6.21(D4:2D5) = (C2xC12).D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.21(D4:2D5)480,437
C6.22(D4:2D5) = C60.69D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.22(D4:2D5)480,449
C6.23(D4:2D5) = C20.Dic6φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6480C6.23(D4:2D5)480,464
C6.24(D4:2D5) = Dic5xD12φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.24(D4:2D5)480,491
C6.25(D4:2D5) = (C2xD12).D5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.25(D4:2D5)480,499
C6.26(D4:2D5) = D6:3Dic10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.26(D4:2D5)480,508
C6.27(D4:2D5) = D6:(C4xD5)φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.27(D4:2D5)480,516
C6.28(D4:2D5) = D6:C4:D5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.28(D4:2D5)480,523
C6.29(D4:2D5) = C60:D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.29(D4:2D5)480,525
C6.30(D4:2D5) = Dic15:2D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.30(D4:2D5)480,529
C6.31(D4:2D5) = D6.9D20φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.31(D4:2D5)480,533
C6.32(D4:2D5) = Dic15.10D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C6240C6.32(D4:2D5)480,538
C6.33(D4:2D5) = Dic5:5Dic6φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6480C6.33(D4:2D5)480,399
C6.34(D4:2D5) = Dic15.2Q8φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6480C6.34(D4:2D5)480,415
C6.35(D4:2D5) = D6:C4.D5φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.35(D4:2D5)480,417
C6.36(D4:2D5) = C4:Dic5:S3φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.36(D4:2D5)480,421
C6.37(D4:2D5) = Dic3.2Dic10φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6480C6.37(D4:2D5)480,422
C6.38(D4:2D5) = Dic5.8D12φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.38(D4:2D5)480,426
C6.39(D4:2D5) = C5:(C42:3S3)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.39(D4:2D5)480,448
C6.40(D4:2D5) = Dic5.7Dic6φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6480C6.40(D4:2D5)480,454
C6.41(D4:2D5) = (C4xDic5):S3φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.41(D4:2D5)480,463
C6.42(D4:2D5) = D6.(C4xD5)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.42(D4:2D5)480,474
C6.43(D4:2D5) = D30.C2:C4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.43(D4:2D5)480,478
C6.44(D4:2D5) = Dic5:4D12φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.44(D4:2D5)480,481
C6.45(D4:2D5) = D6.D20φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.45(D4:2D5)480,503
C6.46(D4:2D5) = D30:4Q8φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.46(D4:2D5)480,505
C6.47(D4:2D5) = D6:4Dic10φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.47(D4:2D5)480,512
C6.48(D4:2D5) = D30.7D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.48(D4:2D5)480,514
C6.49(D4:2D5) = Dic15.19D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.49(D4:2D5)480,602
C6.50(D4:2D5) = (C6xDic5):7C4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.50(D4:2D5)480,604
C6.51(D4:2D5) = C23.13(S3xD5)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.51(D4:2D5)480,606
C6.52(D4:2D5) = C30.(C2xD4)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.52(D4:2D5)480,615
C6.53(D4:2D5) = C6.D4:D5φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.53(D4:2D5)480,622
C6.54(D4:2D5) = Dic5xC3:D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.54(D4:2D5)480,627
C6.55(D4:2D5) = C15:26(C4xD4)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.55(D4:2D5)480,628
C6.56(D4:2D5) = (S3xC10).D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.56(D4:2D5)480,631
C6.57(D4:2D5) = D30:7D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.57(D4:2D5)480,633
C6.58(D4:2D5) = Dic15:4D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.58(D4:2D5)480,634
C6.59(D4:2D5) = D30.16D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.59(D4:2D5)480,638
C6.60(D4:2D5) = (C2xC10):4D12φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.60(D4:2D5)480,642
C6.61(D4:2D5) = (C2xC30):Q8φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C6240C6.61(D4:2D5)480,650
C6.62(D4:2D5) = Dic15:5Q8φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6480C6.62(D4:2D5)480,401
C6.63(D4:2D5) = Dic5.1Dic6φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6480C6.63(D4:2D5)480,410
C6.64(D4:2D5) = Dic3.Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6480C6.64(D4:2D5)480,419
C6.65(D4:2D5) = (C2xC60).C22φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.65(D4:2D5)480,438
C6.66(D4:2D5) = (C4xDic15):C2φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.66(D4:2D5)480,442
C6.67(D4:2D5) = Dic15.4Q8φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6480C6.67(D4:2D5)480,458
C6.68(D4:2D5) = D10.19(C4xS3)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.68(D4:2D5)480,470
C6.69(D4:2D5) = (S3xDic5):C4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.69(D4:2D5)480,476
C6.70(D4:2D5) = D10.17D12φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.70(D4:2D5)480,490
C6.71(D4:2D5) = D6:2Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.71(D4:2D5)480,493
C6.72(D4:2D5) = D10:2Dic6φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.72(D4:2D5)480,498
C6.73(D4:2D5) = Dic15:9D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.73(D4:2D5)480,518
C6.74(D4:2D5) = Dic15.31D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.74(D4:2D5)480,540
C6.75(D4:2D5) = C23.D5:S3φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.75(D4:2D5)480,601
C6.76(D4:2D5) = C23.14(S3xD5)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.76(D4:2D5)480,607
C6.77(D4:2D5) = C23.48(S3xD5)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.77(D4:2D5)480,608
C6.78(D4:2D5) = C6.(D4xD5)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.78(D4:2D5)480,610
C6.79(D4:2D5) = C6.(C2xD20)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.79(D4:2D5)480,613
C6.80(D4:2D5) = (C2xC10).D12φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.80(D4:2D5)480,619
C6.81(D4:2D5) = C23.17(S3xD5)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.81(D4:2D5)480,624
C6.82(D4:2D5) = (C6xD5):D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.82(D4:2D5)480,625
C6.83(D4:2D5) = Dic15:16D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.83(D4:2D5)480,635
C6.84(D4:2D5) = Dic15:17D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.84(D4:2D5)480,636
C6.85(D4:2D5) = (S3xC10):D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.85(D4:2D5)480,641
C6.86(D4:2D5) = Dic15:18D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.86(D4:2D5)480,647
C6.87(D4:2D5) = Dic15.48D4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C6240C6.87(D4:2D5)480,652
C6.88(D4:2D5) = C23.15D30φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.88(D4:2D5)480,842
C6.89(D4:2D5) = C22:2Dic30φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.89(D4:2D5)480,843
C6.90(D4:2D5) = C23.8D30φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.90(D4:2D5)480,844
C6.91(D4:2D5) = Dic15:19D4φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.91(D4:2D5)480,846
C6.92(D4:2D5) = D30.28D4φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.92(D4:2D5)480,848
C6.93(D4:2D5) = C23.11D30φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.93(D4:2D5)480,850
C6.94(D4:2D5) = C22.D60φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.94(D4:2D5)480,851
C6.95(D4:2D5) = Dic15:10Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6480C6.95(D4:2D5)480,852
C6.96(D4:2D5) = Dic15.3Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6480C6.96(D4:2D5)480,854
C6.97(D4:2D5) = C4.Dic30φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6480C6.97(D4:2D5)480,855
C6.98(D4:2D5) = C4:C4:7D15φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.98(D4:2D5)480,857
C6.99(D4:2D5) = D30:6Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.99(D4:2D5)480,862
C6.100(D4:2D5) = C4:C4:D15φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.100(D4:2D5)480,863
C6.101(D4:2D5) = D4xDic15φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.101(D4:2D5)480,899
C6.102(D4:2D5) = C23.22D30φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.102(D4:2D5)480,900
C6.103(D4:2D5) = C60.17D4φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.103(D4:2D5)480,901
C6.104(D4:2D5) = C60:2D4φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.104(D4:2D5)480,903
C6.105(D4:2D5) = Dic15:12D4φ: D4:2D5/C5xD4 → C2 ⊆ Aut C6240C6.105(D4:2D5)480,904
C6.106(D4:2D5) = C3xC23.11D10central extension (φ=1)240C6.106(D4:2D5)480,670
C6.107(D4:2D5) = C3xDic5.14D4central extension (φ=1)240C6.107(D4:2D5)480,671
C6.108(D4:2D5) = C3xC23.D10central extension (φ=1)240C6.108(D4:2D5)480,672
C6.109(D4:2D5) = C3xDic5:4D4central extension (φ=1)240C6.109(D4:2D5)480,674
C6.110(D4:2D5) = C3xD10.12D4central extension (φ=1)240C6.110(D4:2D5)480,676
C6.111(D4:2D5) = C3xDic5.5D4central extension (φ=1)240C6.111(D4:2D5)480,678
C6.112(D4:2D5) = C3xC22.D20central extension (φ=1)240C6.112(D4:2D5)480,679
C6.113(D4:2D5) = C3xDic5:3Q8central extension (φ=1)480C6.113(D4:2D5)480,680
C6.114(D4:2D5) = C3xDic5.Q8central extension (φ=1)480C6.114(D4:2D5)480,682
C6.115(D4:2D5) = C3xC4.Dic10central extension (φ=1)480C6.115(D4:2D5)480,683
C6.116(D4:2D5) = C3xC4:C4:7D5central extension (φ=1)240C6.116(D4:2D5)480,685
C6.117(D4:2D5) = C3xD10:2Q8central extension (φ=1)240C6.117(D4:2D5)480,690
C6.118(D4:2D5) = C3xC4:C4:D5central extension (φ=1)240C6.118(D4:2D5)480,691
C6.119(D4:2D5) = C3xD4xDic5central extension (φ=1)240C6.119(D4:2D5)480,727
C6.120(D4:2D5) = C3xC23.18D10central extension (φ=1)240C6.120(D4:2D5)480,728
C6.121(D4:2D5) = C3xC20.17D4central extension (φ=1)240C6.121(D4:2D5)480,729
C6.122(D4:2D5) = C3xC20:2D4central extension (φ=1)240C6.122(D4:2D5)480,731
C6.123(D4:2D5) = C3xDic5:D4central extension (φ=1)240C6.123(D4:2D5)480,732

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