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

Direct product G=N×Q with N=C₂² and Q=SD₃₂

		d	ρ	Label	ID
C₂²×SD₃₂		64		C2^2xSD32	128,2141

Semidirect products G=N:Q with N=C₂² and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁SD₃₂ = C₁₆⋊₈D₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₂²	64		C2^2:1SD32	128,949
C₂²⋊₂SD₃₂ = D₈.₉D₄	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₂²	32		C2^2:2SD32	128,919
C₂²⋊₃SD₃₂ = Q₁₆⋊₇D₄	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₂²	64		C2^2:3SD32	128,917

Non-split extensions G=N.Q with N=C₂² and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁SD₃₂ = D₁₆.C₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₂²	64	2	C2^2.1SD32	128,149
C₂².₂SD₃₂ = C₂³.₃₂D₈	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₂²	32		C2^2.2SD32	128,80
C₂².₃SD₃₂ = M₆(2)⋊C₂	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₂²	32	4+	C2^2.3SD32	128,151
C₂².₄SD₃₂ = C₁₆.₁₈D₄	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₂²	64	4-	C2^2.4SD32	128,152
C₂².₅SD₃₂ = C₈.Q₁₆	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.5SD32	128,158
C₂².₆SD₃₂ = C₂³.₅₀D₈	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₂²	64		C2^2.6SD32	128,967
C₂².₇SD₃₂ = C₂².SD₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₂²	32		C2^2.7SD32	128,79
C₂².₈SD₃₂ = C₂³.₄₉D₈	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₂²	64		C2^2.8SD32	128,965
C₂².₉SD₃₂ = C₈.₇C₄²	central extension (φ=1)	128		C2^2.9SD32	128,112
C₂².₁₀SD₃₂ = C₂×C₂.D₁₆	central extension (φ=1)	64		C2^2.10SD32	128,868
C₂².₁₁SD₃₂ = C₂×C₂.Q₃₂	central extension (φ=1)	128		C2^2.11SD32	128,869
C₂².₁₂SD₃₂ = C₂×C₁₆⋊₄C₄	central extension (φ=1)	128		C2^2.12SD32	128,889

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