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Extensions 1→N→G→Q→1 with N=C2 and Q=D20⋊S3

Direct product G=N×Q with N=C2 and Q=D20⋊S3
dρLabelID
C2×D20⋊S3240C2xD20:S3480,1075


Non-split extensions G=N.Q with N=C2 and Q=D20⋊S3
extensionφ:Q→Aut NdρLabelID
C2.1(D20⋊S3) = Dic15⋊7Q8central extension (φ=1)480C2.1(D20:S3)480,420
C2.2(D20⋊S3) = (C4×D15)⋊8C4central extension (φ=1)240C2.2(D20:S3)480,423
C2.3(D20⋊S3) = D10.19(C4×S3)central extension (φ=1)240C2.3(D20:S3)480,470
C2.4(D20⋊S3) = Dic15⋊13D4central extension (φ=1)240C2.4(D20:S3)480,472
C2.5(D20⋊S3) = D20⋊8Dic3central extension (φ=1)240C2.5(D20:S3)480,510
C2.6(D20⋊S3) = C4⋊Dic5⋊S3central stem extension (φ=1)240C2.6(D20:S3)480,421
C2.7(D20⋊S3) = Dic3.2Dic10central stem extension (φ=1)480C2.7(D20:S3)480,422
C2.8(D20⋊S3) = D30.34D4central stem extension (φ=1)240C2.8(D20:S3)480,430
C2.9(D20⋊S3) = (C2×C12).D10central stem extension (φ=1)240C2.9(D20:S3)480,437
C2.10(D20⋊S3) = (C4×Dic15)⋊C2central stem extension (φ=1)240C2.10(D20:S3)480,442
C2.11(D20⋊S3) = C60.88D4central stem extension (φ=1)240C2.11(D20:S3)480,444
C2.12(D20⋊S3) = D30⋊9Q8central stem extension (φ=1)240C2.12(D20:S3)480,459
C2.13(D20⋊S3) = C12.Dic10central stem extension (φ=1)480C2.13(D20:S3)480,460
C2.14(D20⋊S3) = (C6×D5).D4central stem extension (φ=1)240C2.14(D20:S3)480,483
C2.15(D20⋊S3) = Dic3⋊D20central stem extension (φ=1)240C2.15(D20:S3)480,485
C2.16(D20⋊S3) = D10.16D12central stem extension (φ=1)240C2.16(D20:S3)480,489
C2.17(D20⋊S3) = D10⋊1Dic6central stem extension (φ=1)240C2.17(D20:S3)480,497
C2.18(D20⋊S3) = (C2×Dic6)⋊D5central stem extension (φ=1)240C2.18(D20:S3)480,531
C2.19(D20⋊S3) = C12⋊2D20central stem extension (φ=1)240C2.19(D20:S3)480,541

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