Extensions 1→N→G→Q→1 with N=C₇ and Q=D₈⋊C₄

Direct product G=N×Q with N=C₇ and Q=D₈⋊C₄

		d	ρ	Label	ID
C₇×D₈⋊C₄		224		C7xD8:C4	448,850

Semidirect products G=N:Q with N=C₇ and Q=D₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₈⋊C₄) = D₅₆⋊C₄	φ: D₈⋊C₄/C₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(D8:C4)	448,245
C₇⋊₂(D₈⋊C₄) = D₄⋊D₇⋊C₄	φ: D₈⋊C₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(D8:C4)	448,319
C₇⋊₃(D₈⋊C₄) = D₅₆⋊₉C₄	φ: D₈⋊C₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:3(D8:C4)	448,403
C₇⋊₄(D₈⋊C₄) = C₄².₄₈D₁₄	φ: D₈⋊C₄/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:4(D8:C4)	448,548
C₇⋊₅(D₈⋊C₄) = D₈⋊Dic₇	φ: D₈⋊C₄/C₂×D₈ → C₂ ⊆ Aut C₇	224		C7:5(D8:C4)	448,686

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