# Extensions 1→N→G→Q→1 with N=C22 and Q=SD32

Direct product G=N×Q with N=C22 and Q=SD32
dρLabelID
C22×SD3264C2^2xSD32128,2141

Semidirect products G=N:Q with N=C22 and Q=SD32
extensionφ:Q→Aut NdρLabelID
C221SD32 = C168D4φ: SD32/C16C2 ⊆ Aut C2264C2^2:1SD32128,949
C222SD32 = D8.9D4φ: SD32/D8C2 ⊆ Aut C2232C2^2:2SD32128,919
C223SD32 = Q167D4φ: SD32/Q16C2 ⊆ Aut C2264C2^2:3SD32128,917

Non-split extensions G=N.Q with N=C22 and Q=SD32
extensionφ:Q→Aut NdρLabelID
C22.1SD32 = D16.C4φ: SD32/C16C2 ⊆ Aut C22642C2^2.1SD32128,149
C22.2SD32 = C23.32D8φ: SD32/D8C2 ⊆ Aut C2232C2^2.2SD32128,80
C22.3SD32 = M6(2)⋊C2φ: SD32/D8C2 ⊆ Aut C22324+C2^2.3SD32128,151
C22.4SD32 = C16.18D4φ: SD32/D8C2 ⊆ Aut C22644-C2^2.4SD32128,152
C22.5SD32 = C8.Q16φ: SD32/D8C2 ⊆ Aut C22324C2^2.5SD32128,158
C22.6SD32 = C23.50D8φ: SD32/D8C2 ⊆ Aut C2264C2^2.6SD32128,967
C22.7SD32 = C22.SD32φ: SD32/Q16C2 ⊆ Aut C2232C2^2.7SD32128,79
C22.8SD32 = C23.49D8φ: SD32/Q16C2 ⊆ Aut C2264C2^2.8SD32128,965
C22.9SD32 = C8.7C42central extension (φ=1)128C2^2.9SD32128,112
C22.10SD32 = C2×C2.D16central extension (φ=1)64C2^2.10SD32128,868
C22.11SD32 = C2×C2.Q32central extension (φ=1)128C2^2.11SD32128,869
C22.12SD32 = C2×C164C4central extension (φ=1)128C2^2.12SD32128,889

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