Extensions 1→N→G→Q→1 with N=Q₃₂⋊C₂ and Q=C₂

Direct product G=N×Q with N=Q₃₂⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×Q₃₂⋊C₂		64		C2xQ32:C2	128,2145

Semidirect products G=N:Q with N=Q₃₂⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊C₂⋊₁C₂ = D₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	32	8-	Q32:C2:1C2	128,923
Q₃₂⋊C₂⋊₂C₂ = D₈.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	32	4	Q32:C2:2C2	128,926
Q₃₂⋊C₂⋊₃C₂ = D₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	64	4-	Q32:C2:3C2	128,927
Q₃₂⋊C₂⋊₄C₂ = C₈.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	32	4	Q32:C2:4C2	128,944
Q₃₂⋊C₂⋊₅C₂ = D₄○SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	32	4	Q32:C2:5C2	128,2148
Q₃₂⋊C₂⋊₆C₂ = Q₈○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	64	4-	Q32:C2:6C2	128,2149
Q₃₂⋊C₂⋊₇C₂ = D₁₆⋊C₂²	φ: trivial image	32	4	Q32:C2:7C2	128,2146

Non-split extensions G=N.Q with N=Q₃₂⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊C₂.₁C₂ = Q₃₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	32	8-	Q32:C2.1C2	128,912
Q₃₂⋊C₂.₂C₂ = C₈.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out Q₃₂⋊C₂	32	4-	Q32:C2.2C2	128,946

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