Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅xC₂xC₆

Direct product G=NxQ with N=C₃ and Q=D₅xC₂xC₆

		d	ρ	Label	ID
D₅xC₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₃ and Q=D₅xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₅xC₂xC₆) = S₃xC₆xD₅	φ: D₅xC₂xC₆/C₆xD₅ → C₂ ⊆ Aut C₃	60	4	C3:1(D5xC2xC6)	360,151
C₃:₂(D₅xC₂xC₆) = C₂xC₆xD₁₅	φ: D₅xC₂xC₆/C₂xC₃₀ → C₂ ⊆ Aut C₃	120		C3:2(D5xC2xC6)	360,159

Non-split extensions G=N.Q with N=C₃ and Q=D₅xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₅xC₂xC₆) = D₅xC₂xC₁₈	central extension (φ=1)	180		C3.(D5xC2xC6)	360,47

Extensions 1→N→G→Q→1 with N=C3 and Q=D5xC2xC6