# Extensions 1→N→G→Q→1 with N=C2 and Q=Q8×C23

Direct product G=N×Q with N=C2 and Q=Q8×C23
dρLabelID
Q8×C24128Q8xC2^4128,2321

Non-split extensions G=N.Q with N=C2 and Q=Q8×C23
extensionφ:Q→Aut NdρLabelID
C2.1(Q8×C23) = C23×C4⋊C4central extension (φ=1)128C2.1(Q8xC2^3)128,2152
C2.2(Q8×C23) = Q8×C22×C4central extension (φ=1)128C2.2(Q8xC2^3)128,2155
C2.3(Q8×C23) = C22×C22⋊Q8central stem extension (φ=1)64C2.3(Q8xC2^3)128,2165
C2.4(Q8×C23) = C22×C42.C2central stem extension (φ=1)128C2.4(Q8xC2^3)128,2169
C2.5(Q8×C23) = C22×C4⋊Q8central stem extension (φ=1)128C2.5(Q8xC2^3)128,2173
C2.6(Q8×C23) = C2×C23.37C23central stem extension (φ=1)64C2.6(Q8xC2^3)128,2175
C2.7(Q8×C23) = C2×C232Q8central stem extension (φ=1)32C2.7(Q8xC2^3)128,2188
C2.8(Q8×C23) = C2×C23.41C23central stem extension (φ=1)64C2.8(Q8xC2^3)128,2189
C2.9(Q8×C23) = C22.47C25central stem extension (φ=1)32C2.9(Q8xC2^3)128,2190
C2.10(Q8×C23) = C2×D4×Q8central stem extension (φ=1)64C2.10(Q8xC2^3)128,2198
C2.11(Q8×C23) = C2×D43Q8central stem extension (φ=1)64C2.11(Q8xC2^3)128,2204
C2.12(Q8×C23) = C2×Q83Q8central stem extension (φ=1)128C2.12(Q8xC2^3)128,2208
C2.13(Q8×C23) = C2×Q82central stem extension (φ=1)128C2.13(Q8xC2^3)128,2209
C2.14(Q8×C23) = Q8×C4○D4central stem extension (φ=1)64C2.14(Q8xC2^3)128,2210
C2.15(Q8×C23) = C22.90C25central stem extension (φ=1)32C2.15(Q8xC2^3)128,2233
C2.16(Q8×C23) = C22.91C25central stem extension (φ=1)64C2.16(Q8xC2^3)128,2234
C2.17(Q8×C23) = C22.92C25central stem extension (φ=1)64C2.17(Q8xC2^3)128,2235
C2.18(Q8×C23) = C22.93C25central stem extension (φ=1)64C2.18(Q8xC2^3)128,2236

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