Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₁₀

Direct product G=NxQ with N=Dic₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xDic₃		120		C10xDic3	120,24

Semidirect products G=N:Q with N=Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:C₁₀ = C₅xC₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃	60	2	Dic3:C10	120,25
Dic₃:₂C₁₀ = S₃xC₂₀	φ: trivial image	60	2	Dic3:2C10	120,22

Non-split extensions G=N.Q with N=Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.C₁₀ = C₅xDic₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃	120	2	Dic3.C10	120,21

Extensions 1→N→G→Q→1 with N=Dic3 and Q=C10