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

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

		d	ρ	Label	ID
C₇×C₄⋊Q₈		224		C7xC4:Q8	224,163

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄⋊Q₈) = C₂₈⋊₂Q₈	φ: C₄⋊Q₈/C₄² → C₂ ⊆ Aut C₇	224		C7:1(C4:Q8)	224,64
C₇⋊₂(C₄⋊Q₈) = C₂₈⋊Q₈	φ: C₄⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C4:Q8)	224,83
C₇⋊₃(C₄⋊Q₈) = Dic₇⋊Q₈	φ: C₄⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C4:Q8)	224,139

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