Extensions 1→N→G→Q→1 with N=C₇ and Q=D₈⋊₂C₄

Direct product G=N×Q with N=C₇ and Q=D₈⋊₂C₄

		d	ρ	Label	ID
C₇×D₈⋊₂C₄		112	4	C7xD8:2C4	448,164

Semidirect products G=N:Q with N=C₇ and Q=D₈⋊₂C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₈⋊₂C₄) = D₅₆⋊₈C₄	φ: D₈⋊₂C₄/C₄.Q₈ → C₂ ⊆ Aut C₇	112	4	C7:1(D8:2C4)	448,45
C₇⋊₂(D₈⋊₂C₄) = D₅₆⋊₂C₄	φ: D₈⋊₂C₄/M₅(2) → C₂ ⊆ Aut C₇	112	4	C7:2(D8:2C4)	448,75
C₇⋊₃(D₈⋊₂C₄) = D₈⋊₂Dic₇	φ: D₈⋊₂C₄/C₄○D₈ → C₂ ⊆ Aut C₇	112	4	C7:3(D8:2C4)	448,123

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