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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×S3×F5

Direct product G=N×Q with N=C2 and Q=C2×S3×F5
dρLabelID
C22×S3×F560C2^2xS3xF5480,1197


Non-split extensions G=N.Q with N=C2 and Q=C2×S3×F5
extensionφ:Q→Aut NdρLabelID
C2.1(C2×S3×F5) = S3×D5⋊C8central extension (φ=1)1208C2.1(C2xS3xF5)480,986
C2.2(C2×S3×F5) = C4×S3×F5central extension (φ=1)608C2.2(C2xS3xF5)480,994
C2.3(C2×S3×F5) = C2×Dic3×F5central extension (φ=1)120C2.3(C2xS3xF5)480,998
C2.4(C2×S3×F5) = C2×S3×C5⋊C8central extension (φ=1)240C2.4(C2xS3xF5)480,1002
C2.5(C2×S3×F5) = C2×D15⋊C8central extension (φ=1)240C2.5(C2xS3xF5)480,1006
C2.6(C2×S3×F5) = F5×Dic6central stem extension (φ=1)1208-C2.6(C2xS3xF5)480,982
C2.7(C2×S3×F5) = C4⋊F5⋊3S3central stem extension (φ=1)1208C2.7(C2xS3xF5)480,983
C2.8(C2×S3×F5) = Dic6⋊5F5central stem extension (φ=1)1208-C2.8(C2xS3xF5)480,984
C2.9(C2×S3×F5) = (C4×S3)⋊F5central stem extension (φ=1)1208C2.9(C2xS3xF5)480,985
C2.10(C2×S3×F5) = D12.2F5central stem extension (φ=1)2408-C2.10(C2xS3xF5)480,987
C2.11(C2×S3×F5) = S3×C4.F5central stem extension (φ=1)1208C2.11(C2xS3xF5)480,988
C2.12(C2×S3×F5) = D12.F5central stem extension (φ=1)2408-C2.12(C2xS3xF5)480,989
C2.13(C2×S3×F5) = D60.C4central stem extension (φ=1)2408+C2.13(C2xS3xF5)480,990
C2.14(C2×S3×F5) = D15⋊M4(2)central stem extension (φ=1)1208C2.14(C2xS3xF5)480,991
C2.15(C2×S3×F5) = Dic6.F5central stem extension (φ=1)2408+C2.15(C2xS3xF5)480,992
C2.16(C2×S3×F5) = C5⋊C8⋊D6central stem extension (φ=1)1208C2.16(C2xS3xF5)480,993
C2.17(C2×S3×F5) = F5×D12central stem extension (φ=1)608+C2.17(C2xS3xF5)480,995
C2.18(C2×S3×F5) = S3×C4⋊F5central stem extension (φ=1)608C2.18(C2xS3xF5)480,996
C2.19(C2×S3×F5) = D60⋊3C4central stem extension (φ=1)608+C2.19(C2xS3xF5)480,997
C2.20(C2×S3×F5) = C22⋊F5.S3central stem extension (φ=1)1208-C2.20(C2xS3xF5)480,999
C2.21(C2×S3×F5) = C2×D6⋊F5central stem extension (φ=1)120C2.21(C2xS3xF5)480,1000
C2.22(C2×S3×F5) = C2×Dic3⋊F5central stem extension (φ=1)120C2.22(C2xS3xF5)480,1001
C2.23(C2×S3×F5) = C5⋊C8.D6central stem extension (φ=1)2408C2.23(C2xS3xF5)480,1003
C2.24(C2×S3×F5) = S3×C22.F5central stem extension (φ=1)1208-C2.24(C2xS3xF5)480,1004
C2.25(C2×S3×F5) = D15⋊C8⋊C2central stem extension (φ=1)2408C2.25(C2xS3xF5)480,1005
C2.26(C2×S3×F5) = D15⋊2M4(2)central stem extension (φ=1)1208+C2.26(C2xS3xF5)480,1007
C2.27(C2×S3×F5) = C2×D6.F5central stem extension (φ=1)240C2.27(C2xS3xF5)480,1008
C2.28(C2×S3×F5) = C2×Dic3.F5central stem extension (φ=1)240C2.28(C2xS3xF5)480,1009
C2.29(C2×S3×F5) = F5×C3⋊D4central stem extension (φ=1)608C2.29(C2xS3xF5)480,1010
C2.30(C2×S3×F5) = S3×C22⋊F5central stem extension (φ=1)608+C2.30(C2xS3xF5)480,1011
C2.31(C2×S3×F5) = C3⋊D4⋊F5central stem extension (φ=1)608C2.31(C2xS3xF5)480,1012

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