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Extensions 1→N→G→Q→1 with N=C2 and Q=C4⋊D4

Direct product G=N×Q with N=C2 and Q=C4⋊D4
dρLabelID
C2×C4⋊D432C2xC4:D464,203


Non-split extensions G=N.Q with N=C2 and Q=C4⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C4⋊D4) = C23.7Q8central extension (φ=1)32C2.1(C4:D4)64,61
C2.2(C4⋊D4) = C23.23D4central extension (φ=1)32C2.2(C4:D4)64,67
C2.3(C4⋊D4) = C24.C22central extension (φ=1)32C2.3(C4:D4)64,69
C2.4(C4⋊D4) = C23.65C23central extension (φ=1)64C2.4(C4:D4)64,70
C2.5(C4⋊D4) = C24.3C22central extension (φ=1)32C2.5(C4:D4)64,71
C2.6(C4⋊D4) = C23⋊2D4central stem extension (φ=1)32C2.6(C4:D4)64,73
C2.7(C4⋊D4) = C23.10D4central stem extension (φ=1)32C2.7(C4:D4)64,75
C2.8(C4⋊D4) = C23.Q8central stem extension (φ=1)32C2.8(C4:D4)64,77
C2.9(C4⋊D4) = C23.11D4central stem extension (φ=1)32C2.9(C4:D4)64,78
C2.10(C4⋊D4) = C23.81C23central stem extension (φ=1)64C2.10(C4:D4)64,79
C2.11(C4⋊D4) = C4⋊D8central stem extension (φ=1)32C2.11(C4:D4)64,140
C2.12(C4⋊D4) = C4⋊SD16central stem extension (φ=1)32C2.12(C4:D4)64,141
C2.13(C4⋊D4) = D4.D4central stem extension (φ=1)32C2.13(C4:D4)64,142
C2.14(C4⋊D4) = C4⋊2Q16central stem extension (φ=1)64C2.14(C4:D4)64,143
C2.15(C4⋊D4) = D4.2D4central stem extension (φ=1)32C2.15(C4:D4)64,144
C2.16(C4⋊D4) = Q8.D4central stem extension (φ=1)32C2.16(C4:D4)64,145
C2.17(C4⋊D4) = C8⋊8D4central stem extension (φ=1)32C2.17(C4:D4)64,146
C2.18(C4⋊D4) = C8⋊7D4central stem extension (φ=1)32C2.18(C4:D4)64,147
C2.19(C4⋊D4) = C8.18D4central stem extension (φ=1)32C2.19(C4:D4)64,148
C2.20(C4⋊D4) = C8⋊D4central stem extension (φ=1)32C2.20(C4:D4)64,149
C2.21(C4⋊D4) = C8⋊2D4central stem extension (φ=1)32C2.21(C4:D4)64,150
C2.22(C4⋊D4) = C8.D4central stem extension (φ=1)32C2.22(C4:D4)64,151
C2.23(C4⋊D4) = D4.3D4central stem extension (φ=1)164C2.23(C4:D4)64,152
C2.24(C4⋊D4) = D4.4D4central stem extension (φ=1)164+C2.24(C4:D4)64,153
C2.25(C4⋊D4) = D4.5D4central stem extension (φ=1)324-C2.25(C4:D4)64,154

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