Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅xD₁₂

Direct product G=NxQ with N=C₃ and Q=C₅xD₁₂

		d	ρ	Label	ID
C₁₅xD₁₂		120	2	C15xD12	360,97

Semidirect products G=N:Q with N=C₃ and Q=C₅xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₅xD₁₂) = C₅xC₁₂:S₃	φ: C₅xD₁₂/C₆₀ → C₂ ⊆ Aut C₃	180		C3:1(C5xD12)	360,107
C₃:₂(C₅xD₁₂) = C₅xC₃:D₁₂	φ: C₅xD₁₂/S₃xC₁₀ → C₂ ⊆ Aut C₃	60	4	C3:2(C5xD12)	360,75

Non-split extensions G=N.Q with N=C₃ and Q=C₅xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅xD₁₂) = C₅xD₃₆	φ: C₅xD₁₂/C₆₀ → C₂ ⊆ Aut C₃	180	2	C3.(C5xD12)	360,22

Extensions 1→N→G→Q→1 with N=C3 and Q=C5xD12