C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=2_-⁽¹⁺⁴⁾ and Q=C₆

Direct product G=N×Q with N=2_-⁽¹⁺⁴⁾ and Q=C₆

		d	ρ	Label	ID
C₆×2_-⁽¹⁺⁴⁾		96		C6xES-(2,2)	192,1535

Semidirect products G=N:Q with N=2_-⁽¹⁺⁴⁾ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾⋊C₆ = D₈.A₄	φ: C₆/C₁ → C₆ ⊆ Out 2_-⁽¹⁺⁴⁾	32	4-	ES-(2,2):C6	192,1019
2_-⁽¹⁺⁴⁾⋊₂C₆ = C₂×D₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out 2_-⁽¹⁺⁴⁾	32		ES-(2,2):2C6	192,1503
2_-⁽¹⁺⁴⁾⋊₃C₆ = 2_-⁽¹⁺⁴⁾⋊₃C₆	φ: C₆/C₂ → C₃ ⊆ Out 2_-⁽¹⁺⁴⁾	32	4	ES-(2,2):3C6	192,1504
2_-⁽¹⁺⁴⁾⋊₄C₆ = C₃×D₄.₈D₄	φ: C₆/C₃ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	48	4	ES-(2,2):4C6	192,887
2_-⁽¹⁺⁴⁾⋊₅C₆ = C₃×D₄○SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	48	4	ES-(2,2):5C6	192,1466
2_-⁽¹⁺⁴⁾⋊₆C₆ = C₃×Q₈○D₈	φ: C₆/C₃ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	96	4	ES-(2,2):6C6	192,1467
2_-⁽¹⁺⁴⁾⋊₇C₆ = C₃×C₂.C₂⁵	φ: trivial image	48	4	ES-(2,2):7C6	192,1536

Non-split extensions G=N.Q with N=2_-⁽¹⁺⁴⁾ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾.C₆ = SD₁₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out 2_-⁽¹⁺⁴⁾	32	4	ES-(2,2).C6	192,1018
2_-⁽¹⁺⁴⁾.₂C₆ = C₃×D₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	48	4	ES-(2,2).2C6	192,889

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