Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₃₂

Direct product G=N×Q with N=C₆ and Q=Q₃₂

		d	ρ	Label	ID
C₆×Q₃₂		192		C6xQ32	192,940

Semidirect products G=N:Q with N=C₆ and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁Q₃₂ = C₂×Dic₂₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₆	192		C6:1Q32	192,464
C₆⋊₂Q₃₂ = C₂×C₃⋊Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₆	192		C6:2Q32	192,739

Non-split extensions G=N.Q with N=C₆ and Q=Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Q₃₂ = C₂.Dic₂₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₆	192		C6.1Q32	192,62
C₆.₂Q₃₂ = C₄₈⋊₅C₄	φ: Q₃₂/C₁₆ → C₂ ⊆ Aut C₆	192		C6.2Q32	192,63
C₆.₃Q₃₂ = C₆.₆D₁₆	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₆	192		C6.3Q32	192,48
C₆.₄Q₃₂ = C₆.Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₆	192		C6.4Q32	192,51
C₆.₅Q₃₂ = C₆.₅Q₃₂	φ: Q₃₂/Q₁₆ → C₂ ⊆ Aut C₆	192		C6.5Q32	192,123
C₆.₆Q₃₂ = C₃×C₂.Q₃₂	central extension (φ=1)	192		C6.6Q32	192,164
C₆.₇Q₃₂ = C₃×C₁₆⋊₃C₄	central extension (φ=1)	192		C6.7Q32	192,172

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁