Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃.A₄

Direct product G=NxQ with N=C₃ and Q=C₂xC₃.A₄

		d	ρ	Label	ID
C₆xC₃.A₄		54		C6xC3.A4	216,105

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂xC₃.A₄) = S₃xC₃.A₄	φ: C₂xC₃.A₄/C₃.A₄ → C₂ ⊆ Aut C₃	36	6	C3:(C2xC3.A4)	216,98

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₃.A₄) = C₂xC₉.A₄	central extension (φ=1)	54	3	C3.(C2xC3.A4)	216,22

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC3.A4