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
C₇×C₈⋊D₄		224		C7xC8:D4	448,876

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) = C₇⋊C₈⋊₁D₄	φ: C₈⋊D₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C8:D4)	448,314
C₇⋊₂(C₈⋊D₄) = C₇⋊(C₈⋊D₄)	φ: C₈⋊D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C8:D4)	448,346
C₇⋊₃(C₈⋊D₄) = C₈⋊₃D₂₈	φ: C₈⋊D₄/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:3(C8:D4)	448,420
C₇⋊₄(C₈⋊D₄) = C₇⋊C₈⋊₅D₄	φ: C₈⋊D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:4(C8:D4)	448,576
C₇⋊₅(C₈⋊D₄) = C₇⋊C₈⋊₆D₄	φ: C₈⋊D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C8:D4)	448,583
C₇⋊₆(C₈⋊D₄) = C₅₆⋊₂D₄	φ: C₈⋊D₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:6(C8:D4)	448,668
C₇⋊₇(C₈⋊D₄) = C₅₆⋊₈D₄	φ: C₈⋊D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:7(C8:D4)	448,708

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