Extensions 1→N→G→Q→1 with N=D₅ and Q=Dic₁₂

Direct product G=N×Q with N=D₅ and Q=Dic₁₂

		d	ρ	Label	ID
D₅×Dic₁₂		240	4-	D5xDic12	480,335

Non-split extensions G=N.Q with N=D₅ and Q=Dic₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁Dic₁₂ = D₅.D₂₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Out D₅	120	4	D5.1Dic12	480,299
D₅.₂Dic₁₂ = Dic₃₀⋊C₄	φ: Dic₁₂/Dic₆ → C₂ ⊆ Out D₅	120	8-	D5.2Dic12	480,230

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁