Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂².D₈

Direct product G=N×Q with N=C₇ and Q=C₂².D₈

		d	ρ	Label	ID
C₇×C₂².D₈		224		C7xC2^2.D8	448,888

Semidirect products G=N:Q with N=C₇ and Q=C₂².D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂².D₈) = C₂².D₅₆	φ: C₂².D₈/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^2.D8)	448,270
C₇⋊₂(C₂².D₈) = D₁₄.D₈	φ: C₂².D₈/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^2.D8)	448,308
C₇⋊₃(C₂².D₈) = D₁₄.₅D₈	φ: C₂².D₈/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^2.D8)	448,416
C₇⋊₄(C₂².D₈) = (C₂×C₁₄).₄₀D₈	φ: C₂².D₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^2.D8)	448,501
C₇⋊₅(C₂².D₈) = (C₂×C₁₄).D₈	φ: C₂².D₈/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^2.D8)	448,567

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