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

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

		d	ρ	Label	ID
C₁₄×C₄².C₂		448		C14xC4^2.C2	448,1310

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄².C₂) = C₂×C₂₈.₆Q₈	φ: C₂×C₄².C₂/C₂×C₄² → C₂ ⊆ Aut C₇	448		C7:1(C2xC4^2.C2)	448,922
C₇⋊₂(C₂×C₄².C₂) = C₂×Dic₇.Q₈	φ: C₂×C₄².C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2xC4^2.C2)	448,951
C₇⋊₃(C₂×C₄².C₂) = C₂×C₂₈.₃Q₈	φ: C₂×C₄².C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:3(C2xC4^2.C2)	448,952
C₇⋊₄(C₂×C₄².C₂) = D₇×C₄².C₂	φ: C₂×C₄².C₂/C₄².C₂ → C₂ ⊆ Aut C₇	224		C7:4(C2xC4^2.C2)	448,1140

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