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

Direct product G=N×Q with N=C₄ and Q=Q₃₂

		d	ρ	Label	ID
C₄×Q₃₂		128		C4xQ32	128,906

Semidirect products G=N:Q with N=C₄ and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Q₃₂ = C₄⋊Q₃₂	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₄	128		C4:1Q32	128,979
C₄⋊₂Q₃₂ = Q₁₆.₄D₄	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₄	128		C4:2Q32	128,941

Non-split extensions G=N.Q with N=C₄ and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Q₃₂ = C₃₂⋊₃C₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₄	128		C4.1Q32	128,155
C₄.₂Q₃₂ = C₃₂⋊₄C₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₄	128		C4.2Q32	128,156
C₄.₃Q₃₂ = C₄.SD₃₂	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₄	128		C4.3Q32	128,973
C₄.₄Q₃₂ = C₁₆⋊₂Q₈	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₄	128		C4.4Q32	128,984
C₄.₅Q₃₂ = C₈.₂₇D₈	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₄	128		C4.5Q32	128,94
C₄.₆Q₃₂ = C₄.₆Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₄	128		C4.6Q32	128,97
C₄.₇Q₃₂ = C₄.Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₄	128		C4.7Q32	128,959
C₄.₈Q₃₂ = Q₁₆⋊₁C₈	central extension (φ=1)	128		C4.8Q32	128,64
C₄.₉Q₃₂ = C₁₆⋊₃C₈	central extension (φ=1)	128		C4.9Q32	128,103

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