Extensions 1→N→G→Q→1 with N=2₊¹⁺⁴ and Q=C₆

Direct product G=NxQ with N=2₊¹⁺⁴ and Q=C₆

		d	ρ	Label	ID
C₆x2₊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 = C₂wrA₄	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 = C₂xQ₈.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 = C₂xC₂³:A₄	φ: C₆/C₂ → C₃ ⊆ Out 2₊¹⁺⁴	16		ES+(2,2):5C6	192,1508
2₊¹⁺⁴:₆C₆ = C₃xD₄:₄D₄	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	24	4	ES+(2,2):6C6	192,886
2₊¹⁺⁴:₇C₆ = C₃xC₂wrC₂²	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	24	4	ES+(2,2):7C6	192,890
2₊¹⁺⁴:₈C₆ = C₃xD₄oD₈	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2):8C6	192,1465
2₊¹⁺⁴:₉C₆ = C₃xD₄oSD₁₆	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2):9C6	192,1466
2₊¹⁺⁴:₁₀C₆ = C₃xC₂.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 = C₃xD₄.₉D₄	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2).4C6	192,888
2₊¹⁺⁴.₅C₆ = C₃xC₂³.₇D₄	φ: C₆/C₃ → C₂ ⊆ Out 2₊¹⁺⁴	48	4	ES+(2,2).5C6	192,891

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