Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄⋊Q₈

Direct product G=N×Q with N=C₇ and Q=C₂×C₄⋊Q₈

		d	ρ	Label	ID
C₁₄×C₄⋊Q₈		448		C14xC4:Q8	448,1314

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄⋊Q₈) = C₂×C₂₈⋊₂Q₈	φ: C₂×C₄⋊Q₈/C₂×C₄² → C₂ ⊆ Aut C₇	448		C7:1(C2xC4:Q8)	448,921
C₇⋊₂(C₂×C₄⋊Q₈) = C₂×C₂₈⋊Q₈	φ: C₂×C₄⋊Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2xC4:Q8)	448,950
C₇⋊₃(C₂×C₄⋊Q₈) = D₇×C₄⋊Q₈	φ: C₂×C₄⋊Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4:Q8)	448,1176
C₇⋊₄(C₂×C₄⋊Q₈) = C₂×Dic₇⋊Q₈	φ: C₂×C₄⋊Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₇	448		C7:4(C2xC4:Q8)	448,1263

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