Extensions 1→N→G→Q→1 with N=2₊¹⁺⁴ and Q=C₄

Direct product G=N×Q with N=2₊¹⁺⁴ and Q=C₄

		d	ρ	Label	ID
C₄×2₊¹⁺⁴		32		C4xES+(2,2)	128,2161

Semidirect products G=N:Q with N=2₊¹⁺⁴ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
2₊¹⁺⁴⋊C₄ = C₄².D₄	φ: C₄/C₁ → C₄ ⊆ Out 2₊¹⁺⁴	16	4+	ES+(2,2):C4	128,134
2₊¹⁺⁴⋊₂C₄ = 2₊¹⁺⁴⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2):2C4	128,522
2₊¹⁺⁴⋊₃C₄ = 2₊¹⁺⁴⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2):3C4	128,524
2₊¹⁺⁴⋊₄C₄ = 2₊¹⁺⁴⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32	4	ES+(2,2):4C4	128,526
2₊¹⁺⁴⋊₅C₄ = 2₊¹⁺⁴⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2):5C4	128,1629
2₊¹⁺⁴⋊₆C₄ = 2_-¹⁺⁴⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2):6C4	128,1633

Non-split extensions G=N.Q with N=2₊¹⁺⁴ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
2₊¹⁺⁴.C₄ = C₄².₂D₄	φ: C₄/C₁ → C₄ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).C4	128,135
2₊¹⁺⁴.₂C₄ = 2₊¹⁺⁴.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32	4	ES+(2,2).2C4	128,523
2₊¹⁺⁴.₃C₄ = C₄.₂₂C₂⁵	φ: trivial image	32	4	ES+(2,2).3C4	128,2305

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