Extensions 1→N→G→Q→1 with N=C₇ and Q=(C₂²×C₈)⋊C₂

Direct product G=N×Q with N=C₇ and Q=(C₂²×C₈)⋊C₂

		d	ρ	Label	ID
C₇×(C₂²×C₈)⋊C₂		224		C7x(C2^2xC8):C2	448,816

Semidirect products G=N:Q with N=C₇ and Q=(C₂²×C₈)⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁((C₂²×C₈)⋊C₂) = D₁₄⋊C₈⋊C₂	φ: (C₂²×C₈)⋊C₂/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1((C2^2xC8):C2)	448,261
C₇⋊₂((C₂²×C₈)⋊C₂) = (C₂²×C₈)⋊D₇	φ: (C₂²×C₈)⋊C₂/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:2((C2^2xC8):C2)	448,644
C₇⋊₃((C₂²×C₈)⋊C₂) = (C₂×D₂₈).₁₄C₄	φ: (C₂²×C₈)⋊C₂/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:3((C2^2xC8):C2)	448,663
C₇⋊₄((C₂²×C₈)⋊C₂) = (D₄×C₁₄).₁₁C₄	φ: (C₂²×C₈)⋊C₂/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:4((C2^2xC8):C2)	448,768

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