Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅xA₄

Direct product G=NxQ with N=C₃ and Q=D₅xA₄

		d	ρ	Label	ID
C₃xD₅xA₄		60	6	C3xD5xA4	360,142

Semidirect products G=N:Q with N=C₃ and Q=D₅xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(D₅xA₄) = A₄xD₁₅	φ: D₅xA₄/C₅xA₄ → C₂ ⊆ Aut C₃	60	6+	C3:(D5xA4)	360,144

Non-split extensions G=N.Q with N=C₃ and Q=D₅xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₅xA₄) = D₅xC₃.A₄	central extension (φ=1)	90	6	C3.(D5xA4)	360,42

Extensions 1→N→G→Q→1 with N=C3 and Q=D5xA4