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

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

		d	ρ	Label	ID
D₄×C₅₆		224		D4xC56	448,842

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈×D₄) = C₈×D₂₈	φ: C₈×D₄/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C8xD4)	448,220
C₇⋊₂(C₈×D₄) = C₇⋊D₄⋊C₈	φ: C₈×D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(C8xD4)	448,259
C₇⋊₃(C₈×D₄) = D₂₈⋊C₈	φ: C₈×D₄/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:3(C8xD4)	448,368
C₇⋊₄(C₈×D₄) = D₄×C₇⋊C₈	φ: C₈×D₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:4(C8xD4)	448,544
C₇⋊₅(C₈×D₄) = C₈×C₇⋊D₄	φ: C₈×D₄/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:5(C8xD4)	448,643

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