Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₈Q₈

Direct product G=N×Q with N=C₇ and Q=C₂³.₈Q₈

		d	ρ	Label	ID
C₇×C₂³.₈Q₈		224		C7xC2^3.8Q8	448,793

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₈Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₈Q₈) = D₁₄⋊C₄⋊C₄	φ: C₂³.₈Q₈/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.8Q8)	448,202
C₇⋊₂(C₂³.₈Q₈) = C₂⁴.₄₆D₁₄	φ: C₂³.₈Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.8Q8)	448,480
C₇⋊₃(C₂³.₈Q₈) = C₂⁴.₄₇D₁₄	φ: C₂³.₈Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.8Q8)	448,484
C₇⋊₄(C₂³.₈Q₈) = D₁₄⋊C₄⋊₆C₄	φ: C₂³.₈Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.8Q8)	448,523
C₇⋊₅(C₂³.₈Q₈) = C₂⁴.₆₂D₁₄	φ: C₂³.₈Q₈/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.8Q8)	448,744

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