Extensions 1→N→G→Q→1 with N=C₆ and Q=SD₃₂

Direct product G=N×Q with N=C₆ and Q=SD₃₂

		d	ρ	Label	ID
C₆×SD₃₂		96		C6xSD32	192,939

Semidirect products G=N:Q with N=C₆ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁SD₃₂ = C₂×C₄₈⋊C₂	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₆	96		C6:1SD32	192,462
C₆⋊₂SD₃₂ = C₂×D₈.S₃	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₆	96		C6:2SD32	192,707
C₆⋊₃SD₃₂ = C₂×C₈.₆D₆	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₆	96		C6:3SD32	192,737

Non-split extensions G=N.Q with N=C₆ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁SD₃₂ = C₂.Dic₂₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₆	192		C6.1SD32	192,62
C₆.₂SD₃₂ = C₄₈⋊₆C₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₆	192		C6.2SD32	192,64
C₆.₃SD₃₂ = C₂.D₄₈	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₆	96		C6.3SD32	192,68
C₆.₄SD₃₂ = C₆.Q₃₂	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₆	192		C6.4SD32	192,51
C₆.₅SD₃₂ = D₈⋊₁Dic₃	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₆	96		C6.5SD32	192,121
C₆.₆SD₃₂ = C₆.SD₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₆	192		C6.6SD32	192,49
C₆.₇SD₃₂ = C₆.D₁₆	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₆	96		C6.7SD32	192,50
C₆.₈SD₃₂ = C₆.₅Q₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₆	192		C6.8SD32	192,123
C₆.₉SD₃₂ = C₃×C₂.D₁₆	central extension (φ=1)	96		C6.9SD32	192,163
C₆.₁₀SD₃₂ = C₃×C₂.Q₃₂	central extension (φ=1)	192		C6.10SD32	192,164
C₆.₁₁SD₃₂ = C₃×C₁₆⋊₄C₄	central extension (φ=1)	192		C6.11SD32	192,173

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