Extensions 1→N→G→Q→1 with N=D₆₅ and Q=C₂

Direct product G=N×Q with N=D₆₅ and Q=C₂

		d	ρ	Label	ID
D₁₃₀		130	2+	D130	260,14

Semidirect products G=N:Q with N=D₆₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₅⋊C₂ = D₅×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₆₅	65	4+	D65:C2	260,11

Non-split extensions G=N.Q with N=D₆₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₅.₁C₂ = C₁₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₅	65	4+	D65.1C2	260,9
D₆₅.₂C₂ = C₆₅⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₅	65	4+	D65.2C2	260,10

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D65 and Q=C2