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		64		C4xES-(2,2)	128,2162

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 = C₄².₃D₄	φ: C₄/C₁ → C₄ ⊆ Out 2_-¹⁺⁴	16	4	ES-(2,2):C4	128,136
2_-¹⁺⁴⋊₂C₄ = 2_-¹⁺⁴⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out 2_-¹⁺⁴	32		ES-(2,2):2C4	128,525
2_-¹⁺⁴⋊₃C₄ = 2₊¹⁺⁴⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out 2_-¹⁺⁴	32	4	ES-(2,2):3C4	128,526
2_-¹⁺⁴⋊₄C₄ = 2_-¹⁺⁴⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out 2_-¹⁺⁴	64		ES-(2,2):4C4	128,1630
2_-¹⁺⁴⋊₅C₄ = 2_-¹⁺⁴⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out 2_-¹⁺⁴	16	4	ES-(2,2):5C4	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 = C₄².₄D₄	φ: C₄/C₁ → C₄ ⊆ Out 2_-¹⁺⁴	16	4-	ES-(2,2).C4	128,137
2_-¹⁺⁴.₂C₄ = C₄.₂₂C₂⁵	φ: trivial image	32	4	ES-(2,2).2C4	128,2305

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