Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄×Q₈

Direct product G=N×Q with N=C₇ and Q=D₄×Q₈

		d	ρ	Label	ID
C₇×D₄×Q₈		224		C7xD4xQ8	448,1332

Semidirect products G=N:Q with N=C₇ and Q=D₄×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄×Q₈) = D₄×Dic₁₄	φ: D₄×Q₈/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:1(D4xQ8)	448,990
C₇⋊₂(D₄×Q₈) = Q₈×D₂₈	φ: D₄×Q₈/C₄×Q₈ → C₂ ⊆ Aut C₇	224		C7:2(D4xQ8)	448,1028
C₇⋊₃(D₄×Q₈) = Dic₁₄⋊₂₁D₄	φ: D₄×Q₈/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:3(D4xQ8)	448,1085
C₇⋊₄(D₄×Q₈) = D₂₈⋊₈Q₈	φ: D₄×Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:4(D4xQ8)	448,1180
C₇⋊₅(D₄×Q₈) = Q₈×C₇⋊D₄	φ: D₄×Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:5(D4xQ8)	448,1268

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