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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊C₄ = Q₃₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₃₂	32	8-	Q32:C4	128,912
Q₃₂⋊₂C₄ = Q₃₂⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₃₂	128		Q32:2C4	128,148
Q₃₂⋊₃C₄ = D₁₆⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₃₂	32	4	Q32:3C4	128,150
Q₃₂⋊₄C₄ = Q₃₂⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₃₂	128		Q32:4C4	128,908
Q₃₂⋊₅C₄ = D₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₃₂	32	4	Q32:5C4	128,911
Q₃₂⋊₆C₄ = C₈○D₁₆	φ: trivial image	32	2	Q32:6C4	128,910

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂.₁C₄ = D₁₆.C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₃₂	64	2	Q32.1C4	128,149
Q₃₂.₂C₄ = C₁₆.₁₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₃₂	64	4-	Q32.2C4	128,152

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