Extensions 1→N→G→Q→1 with N=C4 and Q=Q32

Direct product G=N×Q with N=C4 and Q=Q32
dρLabelID
C4×Q32128C4xQ32128,906

Semidirect products G=N:Q with N=C4 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C41Q32 = C4⋊Q32φ: Q32/C16C2 ⊆ Aut C4128C4:1Q32128,979
C42Q32 = Q16.4D4φ: Q32/Q16C2 ⊆ Aut C4128C4:2Q32128,941

Non-split extensions G=N.Q with N=C4 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C4.1Q32 = C323C4φ: Q32/C16C2 ⊆ Aut C4128C4.1Q32128,155
C4.2Q32 = C324C4φ: Q32/C16C2 ⊆ Aut C4128C4.2Q32128,156
C4.3Q32 = C4.SD32φ: Q32/C16C2 ⊆ Aut C4128C4.3Q32128,973
C4.4Q32 = C162Q8φ: Q32/C16C2 ⊆ Aut C4128C4.4Q32128,984
C4.5Q32 = C8.27D8φ: Q32/Q16C2 ⊆ Aut C4128C4.5Q32128,94
C4.6Q32 = C4.6Q32φ: Q32/Q16C2 ⊆ Aut C4128C4.6Q32128,97
C4.7Q32 = C4.Q32φ: Q32/Q16C2 ⊆ Aut C4128C4.7Q32128,959
C4.8Q32 = Q161C8central extension (φ=1)128C4.8Q32128,64
C4.9Q32 = C163C8central extension (φ=1)128C4.9Q32128,103

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