Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.D₄

		d	ρ	Label	ID
C₇×C₂³.D₄		112	4	C7xC2^3.D4	448,156

Semidirect products G=N:Q with N=C₇ and Q=C₂³.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.D₄) = (C₂×C₂₈).D₄	φ: C₂³.D₄/C₂³⋊C₄ → C₂ ⊆ Aut C₇	112	8-	C7:1(C2^3.D4)	448,29
C₇⋊₂(C₂³.D₄) = C₂³.₄D₂₈	φ: C₂³.D₄/C₄.D₄ → C₂ ⊆ Aut C₇	112	8-	C7:2(C2^3.D4)	448,33
C₇⋊₃(C₂³.D₄) = (C₂²×C₂₈)⋊C₄	φ: C₂³.D₄/C₂².D₄ → C₂ ⊆ Aut C₇	112	4	C7:3(C2^3.D4)	448,96

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