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	448,878

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.D₄	φ: C₈.D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C8.D4)	448,350
C₇⋊₂(C₈.D₄) = C₈.₂D₂₈	φ: C₈.D₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:2(C8.D4)	448,402
C₇⋊₃(C₈.D₄) = C₇⋊C₈.₆D₄	φ: C₈.D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C8.D4)	448,586
C₇⋊₄(C₈.D₄) = C₅₆.₄D₄	φ: C₈.D₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:4(C8.D4)	448,671
C₇⋊₅(C₈.D₄) = C₅₆.₃₆D₄	φ: C₈.D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224		C7:5(C8.D4)	448,723

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