Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃₀

Direct product G=N×Q with N=C₃ and Q=Dic₃₀

		d	ρ	Label	ID
C₃×Dic₃₀		120	2	C3xDic30	360,100

Semidirect products G=N:Q with N=C₃ and Q=Dic₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁Dic₃₀ = C₃⋊Dic₃₀	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₃	120	4-	C3:1Dic30	360,83
C₃⋊₂Dic₃₀ = C₁₂.D₁₅	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₃	360		C3:2Dic30	360,110

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.Dic₃₀ = Dic₉₀	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₃	360	2-	C3.Dic30	360,25

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Extensions 1→N→G→Q→1 with N=C3 and Q=Dic30