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		112	2	C7xC8oD4	224,166

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) = D₂₈.₂C₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₇	112	2	C7:1(C8oD4)	224,96
C₇⋊₂(C₈○D₄) = D₂₈.C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₇	112	4	C7:2(C8oD4)	224,102
C₇⋊₃(C₈○D₄) = Q₈.Dic₇	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:3(C8oD4)	224,143

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