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

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

		d	ρ	Label	ID
C₁₀×Dic₃		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 = C₂×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₁₀	30	4	C10:Dic3	120,41
C₁₀⋊₂Dic₃ = C₂×Dic₁₅	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 = C₅×C₃⋊C₈	central extension (φ=1)	120	2	C10.3Dic3	120,1

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