Extensions 1→N→G→Q→1 with N=C2 and Q=C5×S3×D4

Direct product G=N×Q with N=C2 and Q=C5×S3×D4
dρLabelID
S3×D4×C10120S3xD4xC10480,1154


Non-split extensions G=N.Q with N=C2 and Q=C5×S3×D4
extensionφ:Q→Aut NdρLabelID
C2.1(C5×S3×D4) = C5×S3×C22⋊C4central extension (φ=1)120C2.1(C5xS3xD4)480,759
C2.2(C5×S3×D4) = C5×Dic34D4central extension (φ=1)240C2.2(C5xS3xD4)480,760
C2.3(C5×S3×D4) = C5×S3×C4⋊C4central extension (φ=1)240C2.3(C5xS3xD4)480,770
C2.4(C5×S3×D4) = C5×Dic35D4central extension (φ=1)240C2.4(C5xS3xD4)480,772
C2.5(C5×S3×D4) = C5×D4×Dic3central extension (φ=1)240C2.5(C5xS3xD4)480,813
C2.6(C5×S3×D4) = C5×Dic3.D4central stem extension (φ=1)240C2.6(C5xS3xD4)480,757
C2.7(C5×S3×D4) = C5×D6⋊D4central stem extension (φ=1)120C2.7(C5xS3xD4)480,761
C2.8(C5×S3×D4) = C5×C23.9D6central stem extension (φ=1)240C2.8(C5xS3xD4)480,762
C2.9(C5×S3×D4) = C5×Dic3⋊D4central stem extension (φ=1)240C2.9(C5xS3xD4)480,763
C2.10(C5×S3×D4) = C5×C23.11D6central stem extension (φ=1)240C2.10(C5xS3xD4)480,764
C2.11(C5×S3×D4) = C5×C12⋊Q8central stem extension (φ=1)480C2.11(C5xS3xD4)480,767
C2.12(C5×S3×D4) = C5×D6.D4central stem extension (φ=1)240C2.12(C5xS3xD4)480,773
C2.13(C5×S3×D4) = C5×C12⋊D4central stem extension (φ=1)240C2.13(C5xS3xD4)480,774
C2.14(C5×S3×D4) = C5×D6⋊Q8central stem extension (φ=1)240C2.14(C5xS3xD4)480,775
C2.15(C5×S3×D4) = C5×S3×D8central stem extension (φ=1)1204C2.15(C5xS3xD4)480,789
C2.16(C5×S3×D4) = C5×D8⋊S3central stem extension (φ=1)1204C2.16(C5xS3xD4)480,790
C2.17(C5×S3×D4) = C5×D83S3central stem extension (φ=1)2404C2.17(C5xS3xD4)480,791
C2.18(C5×S3×D4) = C5×S3×SD16central stem extension (φ=1)1204C2.18(C5xS3xD4)480,792
C2.19(C5×S3×D4) = C5×Q83D6central stem extension (φ=1)1204C2.19(C5xS3xD4)480,793
C2.20(C5×S3×D4) = C5×D4.D6central stem extension (φ=1)2404C2.20(C5xS3xD4)480,794
C2.21(C5×S3×D4) = C5×Q8.7D6central stem extension (φ=1)2404C2.21(C5xS3xD4)480,795
C2.22(C5×S3×D4) = C5×S3×Q16central stem extension (φ=1)2404C2.22(C5xS3xD4)480,796
C2.23(C5×S3×D4) = C5×Q16⋊S3central stem extension (φ=1)2404C2.23(C5xS3xD4)480,797
C2.24(C5×S3×D4) = C5×D24⋊C2central stem extension (φ=1)2404C2.24(C5xS3xD4)480,798
C2.25(C5×S3×D4) = C5×C232D6central stem extension (φ=1)120C2.25(C5xS3xD4)480,816
C2.26(C5×S3×D4) = C5×D63D4central stem extension (φ=1)240C2.26(C5xS3xD4)480,817
C2.27(C5×S3×D4) = C5×C23.14D6central stem extension (φ=1)240C2.27(C5xS3xD4)480,818
C2.28(C5×S3×D4) = C5×C123D4central stem extension (φ=1)240C2.28(C5xS3xD4)480,819

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