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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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