Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈⋊₆D₄

Direct product G=N×Q with N=C₇ and Q=C₈⋊₆D₄

		d	ρ	Label	ID
C₇×C₈⋊₆D₄		224		C7xC8:6D4	448,844

Semidirect products G=N:Q with N=C₇ and Q=C₈⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈⋊₆D₄) = C₈⋊₆D₂₈	φ: C₈⋊₆D₄/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C8:6D4)	448,222
C₇⋊₂(C₈⋊₆D₄) = Dic₇⋊M₄(2)	φ: C₈⋊₆D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(C8:6D4)	448,263
C₇⋊₃(C₈⋊₆D₄) = C₂₈⋊₂M₄(2)	φ: C₈⋊₆D₄/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:3(C8:6D4)	448,372
C₇⋊₄(C₈⋊₆D₄) = C₂₈⋊₃M₄(2)	φ: C₈⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:4(C8:6D4)	448,546
C₇⋊₅(C₈⋊₆D₄) = C₅₆⋊₁₈D₄	φ: C₈⋊₆D₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:5(C8:6D4)	448,662

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