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Extensions 1→N→G→Q→1 with N=C2 and Q=S3xC2xC20

Direct product G=NxQ with N=C2 and Q=S3xC2xC20
dρLabelID
S3xC22xC20240S3xC2^2xC20480,1151


Non-split extensions G=N.Q with N=C2 and Q=S3xC2xC20
extensionφ:Q→Aut NdρLabelID
C2.1(S3xC2xC20) = S3xC4xC20central extension (φ=1)240C2.1(S3xC2xC20)480,750
C2.2(S3xC2xC20) = S3xC2xC40central extension (φ=1)240C2.2(S3xC2xC20)480,778
C2.3(S3xC2xC20) = Dic3xC2xC20central extension (φ=1)480C2.3(S3xC2xC20)480,801
C2.4(S3xC2xC20) = C20xDic6central stem extension (φ=1)480C2.4(S3xC2xC20)480,747
C2.5(S3xC2xC20) = C5xC42:2S3central stem extension (φ=1)240C2.5(S3xC2xC20)480,751
C2.6(S3xC2xC20) = C20xD12central stem extension (φ=1)240C2.6(S3xC2xC20)480,752
C2.7(S3xC2xC20) = C5xC23.16D6central stem extension (φ=1)240C2.7(S3xC2xC20)480,756
C2.8(S3xC2xC20) = C5xS3xC22:C4central stem extension (φ=1)120C2.8(S3xC2xC20)480,759
C2.9(S3xC2xC20) = C5xDic3:4D4central stem extension (φ=1)240C2.9(S3xC2xC20)480,760
C2.10(S3xC2xC20) = C5xDic6:C4central stem extension (φ=1)480C2.10(S3xC2xC20)480,766
C2.11(S3xC2xC20) = C5xS3xC4:C4central stem extension (φ=1)240C2.11(S3xC2xC20)480,770
C2.12(S3xC2xC20) = C5xC4:C4:7S3central stem extension (φ=1)240C2.12(S3xC2xC20)480,771
C2.13(S3xC2xC20) = C5xDic3:5D4central stem extension (φ=1)240C2.13(S3xC2xC20)480,772
C2.14(S3xC2xC20) = C10xC8:S3central stem extension (φ=1)240C2.14(S3xC2xC20)480,779
C2.15(S3xC2xC20) = C5xC8oD12central stem extension (φ=1)2402C2.15(S3xC2xC20)480,780
C2.16(S3xC2xC20) = C5xS3xM4(2)central stem extension (φ=1)1204C2.16(S3xC2xC20)480,785
C2.17(S3xC2xC20) = C5xD12.C4central stem extension (φ=1)2404C2.17(S3xC2xC20)480,786
C2.18(S3xC2xC20) = C10xDic3:C4central stem extension (φ=1)480C2.18(S3xC2xC20)480,802
C2.19(S3xC2xC20) = C10xD6:C4central stem extension (φ=1)240C2.19(S3xC2xC20)480,806
C2.20(S3xC2xC20) = C20xC3:D4central stem extension (φ=1)240C2.20(S3xC2xC20)480,807

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