Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆₀

Direct product G=N×Q with N=C₃ and Q=D₆₀

		d	ρ	Label	ID
C₃×D₆₀		120	2	C3xD60	360,102

Semidirect products G=N:Q with N=C₃ and Q=D₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₆₀ = C₆₀⋊S₃	φ: D₆₀/C₆₀ → C₂ ⊆ Aut C₃	180		C3:1D60	360,112
C₃⋊₂D₆₀ = C₃⋊D₆₀	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₃	60	4+	C3:2D60	360,81

Non-split extensions G=N.Q with N=C₃ and Q=D₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₆₀ = D₁₈₀	φ: D₆₀/C₆₀ → C₂ ⊆ Aut C₃	180	2+	C3.D60	360,27

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Extensions 1→N→G→Q→1 with N=C3 and Q=D60