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		48		C6xES+(2,2)	192,1534

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⋊₁C₆ = C₂≀A₄	φ: C₆/C₁ → C₆ ⊆ Out 2₊¹⁺⁴	8	4+	ES+(2,2):1C6	192,201
2₊¹⁺⁴⋊₂C₆ = SD₁₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out 2₊¹⁺⁴	32	4	ES+(2,2):2C6	192,1018
2₊¹⁺⁴⋊₃C₆ = C₂×Q₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out 2₊¹⁺⁴	48		ES+(2,2):3C6	192,1502
2₊¹⁺⁴⋊₄C₆ = 2_-¹⁺⁴⋊₃C₆	φ: C₆/C₂ → C₃ ⊆ Out 2₊¹⁺⁴	32	4	ES+(2,2):4C6	192,1504
2₊¹⁺⁴⋊₅C₆ = C₂×C₂³⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out 2₊¹⁺⁴	16		ES+(2,2):5C6	192,1508
2₊¹⁺⁴⋊₆C₆ = C₃×D₄⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	24	4	ES+(2,2):6C6	192,886
2₊¹⁺⁴⋊₇C₆ = C₃×C₂≀C₂²	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	24	4	ES+(2,2):7C6	192,890
2₊¹⁺⁴⋊₈C₆ = C₃×D₄○D₈	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2):8C6	192,1465
2₊¹⁺⁴⋊₉C₆ = C₃×D₄○SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2):9C6	192,1466
2₊¹⁺⁴⋊₁₀C₆ = C₃×C₂.C₂⁵	φ: trivial image	48	4	ES+(2,2):10C6	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⁺⁴.₁C₆ = 2₊¹⁺⁴.C₆	φ: C₆/C₁ → C₆ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).1C6	192,202
2₊¹⁺⁴.₂C₆ = Q₁₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out 2₊¹⁺⁴	48	4+	ES+(2,2).2C6	192,1017
2₊¹⁺⁴.₃C₆ = 2₊¹⁺⁴.₃C₆	φ: C₆/C₂ → C₃ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).3C6	192,1509
2₊¹⁺⁴.₄C₆ = C₃×D₄.₉D₄	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2).4C6	192,888
2₊¹⁺⁴.₅C₆ = C₃×C₂³.₇D₄	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2).5C6	192,891

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