Extensions 1→N→G→Q→1 with N=C2 and Q=C24×C4

Direct product G=N×Q with N=C2 and Q=C24×C4
dρLabelID
C25×C4128C2^5xC4128,2319


Non-split extensions G=N.Q with N=C2 and Q=C24×C4
extensionφ:Q→Aut NdρLabelID
C2.1(C24×C4) = C23×C22⋊C4central stem extension (φ=1)64C2.1(C2^4xC4)128,2151
C2.2(C24×C4) = C23×C4⋊C4central stem extension (φ=1)128C2.2(C2^4xC4)128,2152
C2.3(C24×C4) = C22×C42⋊C2central stem extension (φ=1)64C2.3(C2^4xC4)128,2153
C2.4(C24×C4) = D4×C22×C4central stem extension (φ=1)64C2.4(C2^4xC4)128,2154
C2.5(C24×C4) = Q8×C22×C4central stem extension (φ=1)128C2.5(C2^4xC4)128,2155
C2.6(C24×C4) = C2×C4×C4○D4central stem extension (φ=1)64C2.6(C2^4xC4)128,2156
C2.7(C24×C4) = C2×C22.11C24central stem extension (φ=1)32C2.7(C2^4xC4)128,2157
C2.8(C24×C4) = C2×C23.32C23central stem extension (φ=1)64C2.8(C2^4xC4)128,2158
C2.9(C24×C4) = C2×C23.33C23central stem extension (φ=1)64C2.9(C2^4xC4)128,2159
C2.10(C24×C4) = C22.14C25central stem extension (φ=1)32C2.10(C2^4xC4)128,2160
C2.11(C24×C4) = C4×2+ 1+4central stem extension (φ=1)32C2.11(C2^4xC4)128,2161
C2.12(C24×C4) = C4×2- 1+4central stem extension (φ=1)64C2.12(C2^4xC4)128,2162
C2.13(C24×C4) = C23×M4(2)central stem extension (φ=1)64C2.13(C2^4xC4)128,2302
C2.14(C24×C4) = C22×C8○D4central stem extension (φ=1)64C2.14(C2^4xC4)128,2303
C2.15(C24×C4) = C2×Q8○M4(2)central stem extension (φ=1)32C2.15(C2^4xC4)128,2304
C2.16(C24×C4) = C4.22C25central stem extension (φ=1)324C2.16(C2^4xC4)128,2305

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