Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄²⋊₂C₂

Direct product G=N×Q with N=C₇ and Q=C₂×C₄²⋊₂C₂

		d	ρ	Label	ID
C₁₄×C₄²⋊₂C₂		224		C14xC4^2:2C2	448,1311

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄²⋊₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄²⋊₂C₂) = C₂×C₄²⋊₂D₇	φ: C₂×C₄²⋊₂C₂/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2xC4^2:2C2)	448,931
C₇⋊₂(C₂×C₄²⋊₂C₂) = C₂×C₂³.D₁₄	φ: C₂×C₄²⋊₂C₂/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2xC4^2:2C2)	448,935
C₇⋊₃(C₂×C₄²⋊₂C₂) = C₂×C₄⋊C₄⋊D₇	φ: C₂×C₄²⋊₂C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4^2:2C2)	448,965
C₇⋊₄(C₂×C₄²⋊₂C₂) = D₇×C₄²⋊₂C₂	φ: C₂×C₄²⋊₂C₂/C₄²⋊₂C₂ → C₂ ⊆ Aut C₇	112		C7:4(C2xC4^2:2C2)	448,1156

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