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

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

		d	ρ	Label	ID
C₁₀xDic₃		120		C10xDic3	120,24

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:Dic₃ = C₂xC₃:F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₀	30	4	C10:Dic3	120,41
C₁₀:₂Dic₃ = C₂xDic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₀	120		C10:2Dic3	120,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.Dic₃ = C₁₅:C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₀	120	4	C10.Dic3	120,7
C₁₀.₂Dic₃ = C₁₅:₃C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₀	120	2	C10.2Dic3	120,3
C₁₀.₃Dic₃ = C₅xC₃:C₈	central extension (φ=1)	120	2	C10.3Dic3	120,1

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