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	448,833

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) = D₇×C₄.Q₈	φ: C₂×C₄.Q₈/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:1(C2xC4.Q8)	448,393
C₇⋊₂(C₂×C₄.Q₈) = C₂×C₄.Dic₁₄	φ: C₂×C₄.Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2xC4.Q8)	448,497
C₇⋊₃(C₂×C₄.Q₈) = C₂×C₈⋊Dic₇	φ: C₂×C₄.Q₈/C₂²×C₈ → C₂ ⊆ Aut C₇	448		C7:3(C2xC4.Q8)	448,638

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