Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₄Q₈

Direct product G=N×Q with N=C₇ and Q=C₂³.₄Q₈

		d	ρ	Label	ID
C₇×C₂³.₄Q₈		224		C7xC2^3.4Q8	448,807

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₄Q₈) = (C₂×C₂₈).₃₃D₄	φ: C₂³.₄Q₈/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.4Q8)	448,211
C₇⋊₂(C₂³.₄Q₈) = C₂⁴.₇D₁₄	φ: C₂³.₄Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.4Q8)	448,483
C₇⋊₃(C₂³.₄Q₈) = (C₂×C₂₈).₂₈₉D₄	φ: C₂³.₄Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.4Q8)	448,526

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