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

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

		d	ρ	Label	ID
C₇×D₄⋊C₈		224		C7xD4:C8	448,129

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄⋊C₈) = C₄.₁₇D₅₆	φ: D₄⋊C₈/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(D4:C8)	448,16
C₇⋊₂(D₄⋊C₈) = D₂₈⋊₂C₈	φ: D₄⋊C₈/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(D4:C8)	448,40
C₇⋊₃(D₄⋊C₈) = C₂₈.₅₇D₈	φ: D₄⋊C₈/C₄×D₄ → C₂ ⊆ Aut C₇	224		C7:3(D4:C8)	448,91

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