Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈.₁₇D₄

Direct product G=N×Q with N=C₇ and Q=C₈.₁₇D₄

		d	ρ	Label	ID
C₇×C₈.₁₇D₄		224	4	C7xC8.17D4	448,166

Semidirect products G=N:Q with N=C₇ and Q=C₈.₁₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈.₁₇D₄) = C₅₆.₈D₄	φ: C₈.₁₇D₄/C₈.C₄ → C₂ ⊆ Aut C₇	224	4-	C7:1(C8.17D4)	448,53
C₇⋊₂(C₈.₁₇D₄) = C₂₈.₄D₈	φ: C₈.₁₇D₄/M₅(2) → C₂ ⊆ Aut C₇	224	4-	C7:2(C8.17D4)	448,74
C₇⋊₃(C₈.₁₇D₄) = Q₁₆.Dic₇	φ: C₈.₁₇D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224	4	C7:3(C8.17D4)	448,122

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