Extensions 1→N→G→Q→1 with N=C2 and Q=D5×D12

Direct product G=N×Q with N=C2 and Q=D5×D12
dρLabelID
C2×D5×D12120C2xD5xD12480,1087


Non-split extensions G=N.Q with N=C2 and Q=D5×D12
extensionφ:Q→Aut NdρLabelID
C2.1(D5×D12) = Dic54D12central extension (φ=1)240C2.1(D5xD12)480,481
C2.2(D5×D12) = D5×C4⋊Dic3central extension (φ=1)240C2.2(D5xD12)480,488
C2.3(D5×D12) = Dic5×D12central extension (φ=1)240C2.3(D5xD12)480,491
C2.4(D5×D12) = D6017C4central extension (φ=1)240C2.4(D5xD12)480,494
C2.5(D5×D12) = D5×D6⋊C4central extension (φ=1)120C2.5(D5xD12)480,547
C2.6(D5×D12) = D5×C24⋊C2central stem extension (φ=1)1204C2.6(D5xD12)480,323
C2.7(D5×D12) = D5×D24central stem extension (φ=1)1204+C2.7(D5xD12)480,324
C2.8(D5×D12) = C24⋊D10central stem extension (φ=1)1204+C2.8(D5xD12)480,325
C2.9(D5×D12) = D24⋊D5central stem extension (φ=1)1204C2.9(D5xD12)480,326
C2.10(D5×D12) = D5×Dic12central stem extension (φ=1)2404-C2.10(D5xD12)480,335
C2.11(D5×D12) = Dic60⋊C2central stem extension (φ=1)2404-C2.11(D5xD12)480,336
C2.12(D5×D12) = C24.2D10central stem extension (φ=1)2404C2.12(D5xD12)480,337
C2.13(D5×D12) = C40.31D6central stem extension (φ=1)2404C2.13(D5xD12)480,345
C2.14(D5×D12) = D247D5central stem extension (φ=1)2404-C2.14(D5xD12)480,346
C2.15(D5×D12) = D120⋊C2central stem extension (φ=1)2404+C2.15(D5xD12)480,347
C2.16(D5×D12) = Dic5.8D12central stem extension (φ=1)240C2.16(D5xD12)480,426
C2.17(D5×D12) = D10.16D12central stem extension (φ=1)240C2.17(D5xD12)480,489
C2.18(D5×D12) = D10.17D12central stem extension (φ=1)240C2.18(D5xD12)480,490
C2.19(D5×D12) = Dic5⋊D12central stem extension (φ=1)240C2.19(D5xD12)480,492
C2.20(D5×D12) = D62Dic10central stem extension (φ=1)240C2.20(D5xD12)480,493
C2.21(D5×D12) = D302Q8central stem extension (φ=1)240C2.21(D5xD12)480,495
C2.22(D5×D12) = D30⋊D4central stem extension (φ=1)240C2.22(D5xD12)480,496
C2.23(D5×D12) = D10⋊D12central stem extension (φ=1)240C2.23(D5xD12)480,524
C2.24(D5×D12) = C60⋊D4central stem extension (φ=1)240C2.24(D5xD12)480,525
C2.25(D5×D12) = C127D20central stem extension (φ=1)240C2.25(D5xD12)480,526
C2.26(D5×D12) = C20⋊D12central stem extension (φ=1)240C2.26(D5xD12)480,527
C2.27(D5×D12) = C60⋊Q8central stem extension (φ=1)480C2.27(D5xD12)480,544
C2.28(D5×D12) = D304D4central stem extension (φ=1)120C2.28(D5xD12)480,551
C2.29(D5×D12) = D305D4central stem extension (φ=1)120C2.29(D5xD12)480,552

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