Extensions 1→N→G→Q→1 with N=2₊¹⁺⁴ and Q=C₂

Direct product G=N×Q with N=2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₂×2₊¹⁺⁴		16		C2xES+(2,2)	64,264

Semidirect products G=N:Q with N=2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
2₊¹⁺⁴⋊₁C₂ = D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out 2₊¹⁺⁴	8	4+	ES+(2,2):1C2	64,134
2₊¹⁺⁴⋊₂C₂ = C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out 2₊¹⁺⁴	8	4+	ES+(2,2):2C2	64,138
2₊¹⁺⁴⋊₃C₂ = D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out 2₊¹⁺⁴	16	4+	ES+(2,2):3C2	64,257
2₊¹⁺⁴⋊₄C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2):4C2	64,258
2₊¹⁺⁴⋊₅C₂ = C₂.C₂⁵	φ: trivial image	16	4	ES+(2,2):5C2	64,266

Non-split extensions G=N.Q with N=2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
2₊¹⁺⁴.₁C₂ = D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).1C2	64,136
2₊¹⁺⁴.₂C₂ = C₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).2C2	64,139

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁