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		56	8+	D7xES+(2,2)	448,1379

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	56	8+	ES+(2,2):1D7	448,775
2₊¹⁺⁴⋊₂D₇ = 2₊¹⁺⁴⋊₂D₇	φ: D₇/C₇ → C₂ ⊆ Out 2₊¹⁺⁴	56	8+	ES+(2,2):2D7	448,778
2₊¹⁺⁴⋊₃D₇ = D₂₈.₃₂C₂³	φ: D₇/C₇ → C₂ ⊆ Out 2₊¹⁺⁴	112	8+	ES+(2,2):3D7	448,1288
2₊¹⁺⁴⋊₄D₇ = D₂₈.₃₃C₂³	φ: D₇/C₇ → C₂ ⊆ Out 2₊¹⁺⁴	112	8-	ES+(2,2):4D7	448,1289
2₊¹⁺⁴⋊₅D₇ = D₁₄.C₂⁴	φ: trivial image	112	8-	ES+(2,2):5D7	448,1380

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⁺⁴.₁D₇ = 2₊¹⁺⁴.D₇	φ: D₇/C₇ → C₂ ⊆ Out 2₊¹⁺⁴	112	8-	ES+(2,2).1D7	448,776
2₊¹⁺⁴.₂D₇ = 2₊¹⁺⁴.₂D₇	φ: D₇/C₇ → C₂ ⊆ Out 2₊¹⁺⁴	112	8-	ES+(2,2).2D7	448,777

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