Extensions 1→N→G→Q→1 with N=C₁₀ and Q=SD₃₂

Direct product G=N×Q with N=C₁₀ and Q=SD₃₂

		d	ρ	Label	ID
C₁₀×SD₃₂		160		C10xSD32	320,1007

Semidirect products G=N:Q with N=C₁₀ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁SD₃₂ = C₂×C₁₆⋊D₅	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	160		C10:1SD32	320,530
C₁₀⋊₂SD₃₂ = C₂×D₈.D₅	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₁₀	160		C10:2SD32	320,775
C₁₀⋊₃SD₃₂ = C₂×C₅⋊SD₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	160		C10:3SD32	320,805

Non-split extensions G=N.Q with N=C₁₀ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁SD₃₂ = C₄₀.₇₈D₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.1SD32	320,61
C₁₀.₂SD₃₂ = C₈₀⋊₁₄C₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.2SD32	320,63
C₁₀.₃SD₃₂ = D₄₀⋊₇C₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₀	160		C10.3SD32	320,67
C₁₀.₄SD₃₂ = C₁₀.Q₃₂	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₁₀	320		C10.4SD32	320,50
C₁₀.₅SD₃₂ = C₁₀.D₁₆	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₁₀	160		C10.5SD32	320,120
C₁₀.₆SD₃₂ = C₁₀.SD₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	320		C10.6SD32	320,48
C₁₀.₇SD₃₂ = C₄₀.₅D₄	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	160		C10.7SD32	320,49
C₁₀.₈SD₃₂ = C₄₀.₁₅D₄	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₀	320		C10.8SD32	320,122
C₁₀.₉SD₃₂ = C₅×C₂.D₁₆	central extension (φ=1)	160		C10.9SD32	320,162
C₁₀.₁₀SD₃₂ = C₅×C₂.Q₃₂	central extension (φ=1)	320		C10.10SD32	320,163
C₁₀.₁₁SD₃₂ = C₅×C₁₆⋊₄C₄	central extension (φ=1)	320		C10.11SD32	320,172

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