Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅:D₁₂

Direct product G=NxQ with N=C₃ and Q=C₅:D₁₂

		d	ρ	Label	ID
C₃xC₅:D₁₂		120	4	C3xC5:D12	360,63

Semidirect products G=N:Q with N=C₃ and Q=C₅:D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₅:D₁₂) = C₁₅:D₁₂	φ: C₅:D₁₂/C₃xDic₅ → C₂ ⊆ Aut C₃	180		C3:1(C5:D12)	360,70
C₃:₂(C₅:D₁₂) = D₆:₂D₁₅	φ: C₅:D₁₂/S₃xC₁₀ → C₂ ⊆ Aut C₃	60	4+	C3:2(C5:D12)	360,82
C₃:₃(C₅:D₁₂) = D₃₀:S₃	φ: C₅:D₁₂/D₃₀ → C₂ ⊆ Aut C₃	60	4	C3:3(C5:D12)	360,86

Non-split extensions G=N.Q with N=C₃ and Q=C₅:D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅:D₁₂) = C₅:D₃₆	φ: C₅:D₁₂/C₃xDic₅ → C₂ ⊆ Aut C₃	180	4+	C3.(C5:D12)	360,10

Extensions 1→N→G→Q→1 with N=C3 and Q=C5:D12