Extensions 1→N→G→Q→1 with N=2_-¹⁺⁴ and Q=D₇

Direct product G=N×Q with N=2_-¹⁺⁴ and Q=D₇

		d	ρ	Label	ID
D₇×2_-¹⁺⁴		112	8-	D7xES-(2,2)	448,1381

Semidirect products G=N:Q with N=2_-¹⁺⁴ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
2_-¹⁺⁴⋊₁D₇ = 2_-¹⁺⁴⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out 2_-¹⁺⁴	112	8+	ES-(2,2):1D7	448,779
2_-¹⁺⁴⋊₂D₇ = D₂₈.₃₄C₂³	φ: D₇/C₇ → C₂ ⊆ Out 2_-¹⁺⁴	112	8+	ES-(2,2):2D7	448,1290
2_-¹⁺⁴⋊₃D₇ = D₂₈.₃₅C₂³	φ: D₇/C₇ → C₂ ⊆ Out 2_-¹⁺⁴	224	8-	ES-(2,2):3D7	448,1291
2_-¹⁺⁴⋊₄D₇ = D₂₈.₃₉C₂³	φ: trivial image	112	8+	ES-(2,2):4D7	448,1382

Non-split extensions G=N.Q with N=2_-¹⁺⁴ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
2_-¹⁺⁴.D₇ = 2_-¹⁺⁴.D₇	φ: D₇/C₇ → C₂ ⊆ Out 2_-¹⁺⁴	112	8-	ES-(2,2).D7	448,780

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