Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xF₅

Direct product G=NxQ with N=C₃ and Q=C₆xF₅

		d	ρ	Label	ID
C₃xC₆xF₅		90		C3xC6xF5	360,145

Semidirect products G=N:Q with N=C₃ and Q=C₆xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xF₅) = C₃xS₃xF₅	φ: C₆xF₅/C₃xF₅ → C₂ ⊆ Aut C₃	30	8	C3:1(C6xF5)	360,126
C₃:₂(C₆xF₅) = C₆xC₃:F₅	φ: C₆xF₅/C₆xD₅ → C₂ ⊆ Aut C₃	60	4	C3:2(C6xF5)	360,146

Non-split extensions G=N.Q with N=C₃ and Q=C₆xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆xF₅) = C₁₈xF₅	central extension (φ=1)	90	4	C3.(C6xF5)	360,43

Extensions 1→N→G→Q→1 with N=C3 and Q=C6xF5