Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₁₀

Direct product G=NxQ with N=C₃xC₆ and Q=C₁₀

		d	ρ	Label	ID
C₆xC₃₀		180		C6xC30	180,37

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):₁C₁₀ = S₃xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₆	60	2	(C3xC6):1C10	180,33
(C₃xC₆):₂C₁₀ = C₁₀xC₃:S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₆	90		(C3xC6):2C10	180,35

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁C₁₀ = Dic₃xC₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₆	60	2	(C3xC6).1C10	180,14
(C₃xC₆).₂C₁₀ = C₅xC₃:Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₆	180		(C3xC6).2C10	180,16

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C10