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

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

		d	ρ	Label	ID
C₁₀×Dic₃		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 = C₅×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃	60	2	Dic3:C10	120,25
Dic₃⋊₂C₁₀ = S₃×C₂₀	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 = C₅×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃	120	2	Dic3.C10	120,21

⋊

ℤ

𝔽

○

≀

ℚ

◁

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