Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂.Q₃₂

Direct product G=N×Q with N=C₇ and Q=C₂.Q₃₂

		d	ρ	Label	ID
C₇×C₂.Q₃₂		448		C7xC2.Q32	448,162

Semidirect products G=N:Q with N=C₇ and Q=C₂.Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂.Q₃₂) = C₅₆.₆D₄	φ: C₂.Q₃₂/C₂.D₈ → C₂ ⊆ Aut C₇	448		C7:1(C2.Q32)	448,49
C₇⋊₂(C₂.Q₃₂) = C₅₆.₇₈D₄	φ: C₂.Q₃₂/C₂×C₁₆ → C₂ ⊆ Aut C₇	448		C7:2(C2.Q32)	448,60
C₇⋊₃(C₂.Q₃₂) = C₁₄.Q₃₂	φ: C₂.Q₃₂/C₂×Q₁₆ → C₂ ⊆ Aut C₇	448		C7:3(C2.Q32)	448,121

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁