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Extensions 1→N→G→Q→1 with N=C6 and Q=Q8⋊2D5

Direct product G=N×Q with N=C6 and Q=Q8⋊2D5
dρLabelID
C6×Q8⋊2D5240C6xQ8:2D5480,1143

Semidirect products G=N:Q with N=C6 and Q=Q8⋊2D5
extensionφ:Q→Aut NdρLabelID
C6⋊1(Q8⋊2D5) = C2×C12.28D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6:1(Q8:2D5)480,1085
C6⋊2(Q8⋊2D5) = C2×D20⋊S3φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6:2(Q8:2D5)480,1075
C6⋊3(Q8⋊2D5) = C2×Q8⋊3D15φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6:3(Q8:2D5)480,1173

Non-split extensions G=N.Q with N=C6 and Q=Q8⋊2D5
extensionφ:Q→Aut NdρLabelID
C6.1(Q8⋊2D5) = Dic5×Dic6φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6480C6.1(Q8:2D5)480,408
C6.2(Q8⋊2D5) = C4⋊Dic3⋊D5φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.2(Q8:2D5)480,413
C6.3(Q8⋊2D5) = Dic3.Dic10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6480C6.3(Q8:2D5)480,419
C6.4(Q8⋊2D5) = Dic3⋊C4⋊D5φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.4(Q8:2D5)480,424
C6.5(Q8⋊2D5) = D30.D4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.5(Q8:2D5)480,432
C6.6(Q8⋊2D5) = (C4×D5)⋊Dic3φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.6(Q8:2D5)480,434
C6.7(Q8⋊2D5) = C60.67D4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.7(Q8:2D5)480,435
C6.8(Q8⋊2D5) = (C2×C60).C22φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.8(Q8:2D5)480,438
C6.9(Q8⋊2D5) = C60.70D4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.9(Q8:2D5)480,451
C6.10(Q8⋊2D5) = (C4×Dic5)⋊S3φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.10(Q8:2D5)480,463
C6.11(Q8⋊2D5) = C20.Dic6φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6480C6.11(Q8:2D5)480,464
C6.12(Q8⋊2D5) = D30.C2⋊C4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.12(Q8:2D5)480,478
C6.13(Q8⋊2D5) = D60⋊17C4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.13(Q8:2D5)480,494
C6.14(Q8⋊2D5) = D30⋊3Q8φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.14(Q8:2D5)480,500
C6.15(Q8⋊2D5) = D30.6D4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.15(Q8:2D5)480,509
C6.16(Q8⋊2D5) = C15⋊20(C4×D4)φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.16(Q8:2D5)480,520
C6.17(Q8⋊2D5) = C12⋊7D20φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.17(Q8:2D5)480,526
C6.18(Q8⋊2D5) = (C2×Dic6)⋊D5φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.18(Q8:2D5)480,531
C6.19(Q8⋊2D5) = D30⋊2D4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C6240C6.19(Q8:2D5)480,535
C6.20(Q8⋊2D5) = Dic15⋊7Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6480C6.20(Q8:2D5)480,420
C6.21(Q8⋊2D5) = C4⋊Dic5⋊S3φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.21(Q8:2D5)480,421
C6.22(Q8⋊2D5) = Dic3.2Dic10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6480C6.22(Q8:2D5)480,422
C6.23(Q8⋊2D5) = (C4×D15)⋊8C4φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.23(Q8:2D5)480,423
C6.24(Q8⋊2D5) = D30.34D4φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.24(Q8:2D5)480,430
C6.25(Q8⋊2D5) = (C2×C12).D10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.25(Q8:2D5)480,437
C6.26(Q8⋊2D5) = (C4×Dic15)⋊C2φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.26(Q8:2D5)480,442
C6.27(Q8⋊2D5) = C60.88D4φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.27(Q8:2D5)480,444
C6.28(Q8⋊2D5) = D30⋊9Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.28(Q8:2D5)480,459
C6.29(Q8⋊2D5) = C12.Dic10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6480C6.29(Q8:2D5)480,460
C6.30(Q8⋊2D5) = D10.19(C4×S3)φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.30(Q8:2D5)480,470
C6.31(Q8⋊2D5) = Dic15⋊13D4φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.31(Q8:2D5)480,472
C6.32(Q8⋊2D5) = (C6×D5).D4φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.32(Q8:2D5)480,483
C6.33(Q8⋊2D5) = Dic3⋊D20φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.33(Q8:2D5)480,485
C6.34(Q8⋊2D5) = D10.16D12φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.34(Q8:2D5)480,489
C6.35(Q8⋊2D5) = D10⋊1Dic6φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.35(Q8:2D5)480,497
C6.36(Q8⋊2D5) = D20⋊8Dic3φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.36(Q8:2D5)480,510
C6.37(Q8⋊2D5) = C12⋊2D20φ: Q8⋊2D5/D20 → C2 ⊆ Aut C6240C6.37(Q8:2D5)480,541
C6.38(Q8⋊2D5) = C4.Dic30φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6480C6.38(Q8:2D5)480,855
C6.39(Q8⋊2D5) = C4⋊C4⋊7D15φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.39(Q8:2D5)480,857
C6.40(Q8⋊2D5) = D60⋊11C4φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.40(Q8:2D5)480,858
C6.41(Q8⋊2D5) = D30.29D4φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.41(Q8:2D5)480,859
C6.42(Q8⋊2D5) = C4⋊D60φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.42(Q8:2D5)480,860
C6.43(Q8⋊2D5) = C4⋊C4⋊D15φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.43(Q8:2D5)480,863
C6.44(Q8⋊2D5) = Q8×Dic15φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6480C6.44(Q8:2D5)480,910
C6.45(Q8⋊2D5) = D30⋊7Q8φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.45(Q8:2D5)480,911
C6.46(Q8⋊2D5) = C60.23D4φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C6240C6.46(Q8:2D5)480,912
C6.47(Q8⋊2D5) = C3×C4.Dic10central extension (φ=1)480C6.47(Q8:2D5)480,683
C6.48(Q8⋊2D5) = C3×C4⋊C4⋊7D5central extension (φ=1)240C6.48(Q8:2D5)480,685
C6.49(Q8⋊2D5) = C3×D20⋊8C4central extension (φ=1)240C6.49(Q8:2D5)480,686
C6.50(Q8⋊2D5) = C3×D10.13D4central extension (φ=1)240C6.50(Q8:2D5)480,687
C6.51(Q8⋊2D5) = C3×C4⋊D20central extension (φ=1)240C6.51(Q8:2D5)480,688
C6.52(Q8⋊2D5) = C3×C4⋊C4⋊D5central extension (φ=1)240C6.52(Q8:2D5)480,691
C6.53(Q8⋊2D5) = C3×Q8×Dic5central extension (φ=1)480C6.53(Q8:2D5)480,738
C6.54(Q8⋊2D5) = C3×D10⋊3Q8central extension (φ=1)240C6.54(Q8:2D5)480,739
C6.55(Q8⋊2D5) = C3×C20.23D4central extension (φ=1)240C6.55(Q8:2D5)480,740

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