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

Direct product G=N×Q with N=C2 and Q=C2×C4⋊C4
dρLabelID
C22×C4⋊C464C2^2xC4:C464,194


Non-split extensions G=N.Q with N=C2 and Q=C2×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4⋊C4) = C2×C2.C42central extension (φ=1)64C2.1(C2xC4:C4)64,56
C2.2(C2×C4⋊C4) = C4×C4⋊C4central extension (φ=1)64C2.2(C2xC4:C4)64,59
C2.3(C2×C4⋊C4) = C2×C4⋊C8central extension (φ=1)64C2.3(C2xC4:C4)64,103
C2.4(C2×C4⋊C4) = C23.7Q8central stem extension (φ=1)32C2.4(C2xC4:C4)64,61
C2.5(C2×C4⋊C4) = C42⋊8C4central stem extension (φ=1)64C2.5(C2xC4:C4)64,63
C2.6(C2×C4⋊C4) = C42⋊9C4central stem extension (φ=1)64C2.6(C2xC4:C4)64,65
C2.7(C2×C4⋊C4) = C23.8Q8central stem extension (φ=1)32C2.7(C2xC4:C4)64,66
C2.8(C2×C4⋊C4) = C23.65C23central stem extension (φ=1)64C2.8(C2xC4:C4)64,70
C2.9(C2×C4⋊C4) = C4⋊M4(2)central stem extension (φ=1)32C2.9(C2xC4:C4)64,104
C2.10(C2×C4⋊C4) = C42.6C22central stem extension (φ=1)32C2.10(C2xC4:C4)64,105
C2.11(C2×C4⋊C4) = C2×C4.Q8central stem extension (φ=1)64C2.11(C2xC4:C4)64,106
C2.12(C2×C4⋊C4) = C2×C2.D8central stem extension (φ=1)64C2.12(C2xC4:C4)64,107
C2.13(C2×C4⋊C4) = C23.25D4central stem extension (φ=1)32C2.13(C2xC4:C4)64,108
C2.14(C2×C4⋊C4) = M4(2)⋊C4central stem extension (φ=1)32C2.14(C2xC4:C4)64,109
C2.15(C2×C4⋊C4) = C2×C8.C4central stem extension (φ=1)32C2.15(C2xC4:C4)64,110
C2.16(C2×C4⋊C4) = M4(2).C4central stem extension (φ=1)164C2.16(C2xC4:C4)64,111

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