Extensions 1→N→G→Q→1 with N=C2 and Q=D4×C3⋊S3

Direct product G=N×Q with N=C2 and Q=D4×C3⋊S3
dρLabelID
C2×D4×C3⋊S372C2xD4xC3:S3288,1007


Non-split extensions G=N.Q with N=C2 and Q=D4×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C2.1(D4×C3⋊S3) = C22⋊C4×C3⋊S3central extension (φ=1)72C2.1(D4xC3:S3)288,737
C2.2(D4×C3⋊S3) = C62.225C23central extension (φ=1)144C2.2(D4xC3:S3)288,738
C2.3(D4×C3⋊S3) = C4⋊C4×C3⋊S3central extension (φ=1)144C2.3(D4xC3:S3)288,748
C2.4(D4×C3⋊S3) = C62.237C23central extension (φ=1)144C2.4(D4xC3:S3)288,750
C2.5(D4×C3⋊S3) = D4×C3⋊Dic3central extension (φ=1)144C2.5(D4xC3:S3)288,791
C2.6(D4×C3⋊S3) = C626Q8central stem extension (φ=1)144C2.6(D4xC3:S3)288,735
C2.7(D4×C3⋊S3) = C6212D4central stem extension (φ=1)72C2.7(D4xC3:S3)288,739
C2.8(D4×C3⋊S3) = C62.227C23central stem extension (φ=1)144C2.8(D4xC3:S3)288,740
C2.9(D4×C3⋊S3) = C62.228C23central stem extension (φ=1)144C2.9(D4xC3:S3)288,741
C2.10(D4×C3⋊S3) = C62.229C23central stem extension (φ=1)144C2.10(D4xC3:S3)288,742
C2.11(D4×C3⋊S3) = C122Dic6central stem extension (φ=1)288C2.11(D4xC3:S3)288,745
C2.12(D4×C3⋊S3) = C62.238C23central stem extension (φ=1)144C2.12(D4xC3:S3)288,751
C2.13(D4×C3⋊S3) = C123D12central stem extension (φ=1)144C2.13(D4xC3:S3)288,752
C2.14(D4×C3⋊S3) = C62.240C23central stem extension (φ=1)144C2.14(D4xC3:S3)288,753
C2.15(D4×C3⋊S3) = D8×C3⋊S3central stem extension (φ=1)72C2.15(D4xC3:S3)288,767
C2.16(D4×C3⋊S3) = C248D6central stem extension (φ=1)72C2.16(D4xC3:S3)288,768
C2.17(D4×C3⋊S3) = C24.26D6central stem extension (φ=1)144C2.17(D4xC3:S3)288,769
C2.18(D4×C3⋊S3) = SD16×C3⋊S3central stem extension (φ=1)72C2.18(D4xC3:S3)288,770
C2.19(D4×C3⋊S3) = C247D6central stem extension (φ=1)72C2.19(D4xC3:S3)288,771
C2.20(D4×C3⋊S3) = C24.32D6central stem extension (φ=1)144C2.20(D4xC3:S3)288,772
C2.21(D4×C3⋊S3) = C24.40D6central stem extension (φ=1)144C2.21(D4xC3:S3)288,773
C2.22(D4×C3⋊S3) = Q16×C3⋊S3central stem extension (φ=1)144C2.22(D4xC3:S3)288,774
C2.23(D4×C3⋊S3) = C24.35D6central stem extension (φ=1)144C2.23(D4xC3:S3)288,775
C2.24(D4×C3⋊S3) = C24.28D6central stem extension (φ=1)144C2.24(D4xC3:S3)288,776
C2.25(D4×C3⋊S3) = C6213D4central stem extension (φ=1)72C2.25(D4xC3:S3)288,794
C2.26(D4×C3⋊S3) = C62.256C23central stem extension (φ=1)144C2.26(D4xC3:S3)288,795
C2.27(D4×C3⋊S3) = C6214D4central stem extension (φ=1)144C2.27(D4xC3:S3)288,796
C2.28(D4×C3⋊S3) = C62.258C23central stem extension (φ=1)144C2.28(D4xC3:S3)288,797

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