Extensions 1→N→G→Q→1 with N=Q₃₂ and Q=D₇

Direct product G=N×Q with N=Q₃₂ and Q=D₇

		d	ρ	Label	ID
D₇×Q₃₂		224	4-	D7xQ32	448,451

Semidirect products G=N:Q with N=Q₃₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊₁D₇ = C₇⋊SD₆₄	φ: D₇/C₇ → C₂ ⊆ Out Q₃₂	224	4+	Q32:1D7	448,78
Q₃₂⋊₂D₇ = Q₃₂⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out Q₃₂	224	4	Q32:2D7	448,452
Q₃₂⋊₃D₇ = Q₃₂⋊₃D₇	φ: trivial image	224	4+	Q32:3D7	448,453

Non-split extensions G=N.Q with N=Q₃₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂.D₇ = C₇⋊Q₆₄	φ: D₇/C₇ → C₂ ⊆ Out Q₃₂	448	4-	Q32.D7	448,79

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Extensions 1→N→G→Q→1 with N=Q32 and Q=D7