Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Q₃₂

Direct product G=N×Q with N=C₁₀ and Q=Q₃₂

		d	ρ	Label	ID
C₁₀×Q₃₂		320		C10xQ32	320,1008

Semidirect products G=N:Q with N=C₁₀ and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁Q₃₂ = C₂×Dic₄₀	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10:1Q32	320,532
C₁₀⋊₂Q₃₂ = C₂×C₅⋊Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	320		C10:2Q32	320,807

Non-split extensions G=N.Q with N=C₁₀ and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁Q₃₂ = C₄₀.₇₈D₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.1Q32	320,61
C₁₀.₂Q₃₂ = C₈₀⋊₁₃C₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.2Q32	320,62
C₁₀.₃Q₃₂ = C₄₀.₂Q₈	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	320		C10.3Q32	320,47
C₁₀.₄Q₃₂ = C₁₀.Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	320		C10.4Q32	320,50
C₁₀.₅Q₃₂ = C₄₀.₁₅D₄	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	320		C10.5Q32	320,122
C₁₀.₆Q₃₂ = C₅×C₂.Q₃₂	central extension (φ=1)	320		C10.6Q32	320,163
C₁₀.₇Q₃₂ = C₅×C₁₆⋊₃C₄	central extension (φ=1)	320		C10.7Q32	320,171

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