Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈⋊₈D₄

Direct product G=N×Q with N=C₇ and Q=C₈⋊₈D₄

		d	ρ	Label	ID
C₇×C₈⋊₈D₄		224		C7xC8:8D4	448,873

Semidirect products G=N:Q with N=C₇ and Q=C₈⋊₈D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈⋊₈D₄) = D₁₄⋊SD₁₆	φ: C₈⋊₈D₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C8:8D4)	448,312
C₇⋊₂(C₈⋊₈D₄) = D₁₄⋊₂SD₁₆	φ: C₈⋊₈D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C8:8D4)	448,341
C₇⋊₃(C₈⋊₈D₄) = C₈⋊₈D₂₈	φ: C₈⋊₈D₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C8:8D4)	448,398
C₇⋊₄(C₈⋊₈D₄) = C₇⋊C₈⋊₂₃D₄	φ: C₈⋊₈D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:4(C8:8D4)	448,575
C₇⋊₅(C₈⋊₈D₄) = C₇⋊C₈⋊₂₄D₄	φ: C₈⋊₈D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C8:8D4)	448,582
C₇⋊₆(C₈⋊₈D₄) = C₅₆⋊₃₀D₄	φ: C₈⋊₈D₄/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:6(C8:8D4)	448,648
C₇⋊₇(C₈⋊₈D₄) = C₅₆⋊₁₄D₄	φ: C₈⋊₈D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:7(C8:8D4)	448,705

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