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

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

		d	ρ	Label	ID
C₇×Q₃₂⋊C₂		224	4	C7xQ32:C2	448,918

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₃₂⋊C₂) = C₁₆.D₁₄	φ: Q₃₂⋊C₂/M₅(2) → C₂ ⊆ Aut C₇	224	4-	C7:1(Q32:C2)	448,443
C₇⋊₂(Q₃₂⋊C₂) = SD₃₂⋊D₇	φ: Q₃₂⋊C₂/SD₃₂ → C₂ ⊆ Aut C₇	224	4-	C7:2(Q32:C2)	448,449
C₇⋊₃(Q₃₂⋊C₂) = Q₃₂⋊D₇	φ: Q₃₂⋊C₂/Q₃₂ → C₂ ⊆ Aut C₇	224	4	C7:3(Q32:C2)	448,452
C₇⋊₄(Q₃₂⋊C₂) = Q₁₆.D₁₄	φ: Q₃₂⋊C₂/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224	4	C7:4(Q32:C2)	448,713
C₇⋊₅(Q₃₂⋊C₂) = C₅₆.₃₁C₂³	φ: Q₃₂⋊C₂/C₄○D₈ → C₂ ⊆ Aut C₇	224	4-	C7:5(Q32:C2)	448,729

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