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

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

		d	ρ	Label	ID
C₇×C₂³.Q₈		224		C7xC2^3.Q8	448,804

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.Q₈) = (C₂²×D₇).Q₈	φ: C₂³.Q₈/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.Q8)	448,210
C₇⋊₂(C₂³.Q₈) = C₂⁴.₆D₁₄	φ: C₂³.Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.Q8)	448,482
C₇⋊₃(C₂³.Q₈) = (C₂×C₄).₄₅D₂₈	φ: C₂³.Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.Q8)	448,528

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