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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×S3×Dic5

Direct product G=N×Q with N=C2 and Q=C2×S3×Dic5
dρLabelID
C22×S3×Dic5240C2^2xS3xDic5480,1115


Non-split extensions G=N.Q with N=C2 and Q=C2×S3×Dic5
extensionφ:Q→Aut NdρLabelID
C2.1(C2×S3×Dic5) = C2×S3×C5⋊2C8central extension (φ=1)240C2.1(C2xS3xDic5)480,361
C2.2(C2×S3×Dic5) = C4×S3×Dic5central extension (φ=1)240C2.2(C2xS3xDic5)480,473
C2.3(C2×S3×Dic5) = C2×Dic3×Dic5central extension (φ=1)480C2.3(C2xS3xDic5)480,603
C2.4(C2×S3×Dic5) = D12.2Dic5central stem extension (φ=1)2404C2.4(C2xS3xDic5)480,362
C2.5(C2×S3×Dic5) = S3×C4.Dic5central stem extension (φ=1)1204C2.5(C2xS3xDic5)480,363
C2.6(C2×S3×Dic5) = D12.Dic5central stem extension (φ=1)2404C2.6(C2xS3xDic5)480,364
C2.7(C2×S3×Dic5) = C2×D6.Dic5central stem extension (φ=1)240C2.7(C2xS3xDic5)480,370
C2.8(C2×S3×Dic5) = Dic5×Dic6central stem extension (φ=1)480C2.8(C2xS3xDic5)480,408
C2.9(C2×S3×Dic5) = (S3×C20)⋊5C4central stem extension (φ=1)240C2.9(C2xS3xDic5)480,414
C2.10(C2×S3×Dic5) = Dic15⋊7Q8central stem extension (φ=1)480C2.10(C2xS3xDic5)480,420
C2.11(C2×S3×Dic5) = (S3×C20)⋊7C4central stem extension (φ=1)240C2.11(C2xS3xDic5)480,447
C2.12(C2×S3×Dic5) = Dic5×D12central stem extension (φ=1)240C2.12(C2xS3xDic5)480,491
C2.13(C2×S3×Dic5) = S3×C4⋊Dic5central stem extension (φ=1)240C2.13(C2xS3xDic5)480,502
C2.14(C2×S3×Dic5) = Dic15⋊8D4central stem extension (φ=1)240C2.14(C2xS3xDic5)480,511
C2.15(C2×S3×Dic5) = C23.26(S3×D5)central stem extension (φ=1)240C2.15(C2xS3xDic5)480,605
C2.16(C2×S3×Dic5) = C2×D6⋊Dic5central stem extension (φ=1)240C2.16(C2xS3xDic5)480,614
C2.17(C2×S3×Dic5) = C2×C6.Dic10central stem extension (φ=1)480C2.17(C2xS3xDic5)480,621
C2.18(C2×S3×Dic5) = Dic5×C3⋊D4central stem extension (φ=1)240C2.18(C2xS3xDic5)480,627
C2.19(C2×S3×Dic5) = S3×C23.D5central stem extension (φ=1)120C2.19(C2xS3xDic5)480,630
C2.20(C2×S3×Dic5) = Dic15⋊17D4central stem extension (φ=1)240C2.20(C2xS3xDic5)480,636

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