Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₃₂

Direct product G=N×Q with N=C₂² and Q=Q₃₂

		d	ρ	Label	ID
C₂²×Q₃₂		128		C2^2xQ32	128,2142

Semidirect products G=N:Q with N=C₂² and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁Q₃₂ = C₁₆.₁₉D₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₂²	64		C2^2:1Q32	128,948
C₂²⋊₂Q₃₂ = Q₁₆.₈D₄	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₂²	64		C2^2:2Q32	128,920

Non-split extensions G=N.Q with N=C₂² and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Q₃₂ = C₃₂.C₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₂²	64	2	C2^2.1Q32	128,157
C₂².₂Q₃₂ = C₂³.₃₂D₈	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₂²	32		C2^2.2Q32	128,80
C₂².₃Q₃₂ = C₂³.₅₁D₈	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₂²	64		C2^2.3Q32	128,968
C₂².₄Q₃₂ = C₈.₇C₄²	central extension (φ=1)	128		C2^2.4Q32	128,112
C₂².₅Q₃₂ = C₂×C₂.Q₃₂	central extension (φ=1)	128		C2^2.5Q32	128,869
C₂².₆Q₃₂ = C₂×C₁₆⋊₃C₄	central extension (φ=1)	128		C2^2.6Q32	128,888

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