Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²:S₄

Direct product G=NxQ with N=C₃ and Q=C₂²:S₄

		d	ρ	Label	ID
C₃xC₂²:S₄		24	6	C3xC2^2:S4	288,1035

Semidirect products G=N:Q with N=C₃ and Q=C₂²:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂²:S₄) = (C₂xC₆):S₄	φ: C₂²:S₄/C₂²:A₄ → C₂ ⊆ Aut C₃	24	6	C3:(C2^2:S4)	288,1036

Non-split extensions G=N.Q with N=C₃ and Q=C₂²:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²:S₄) = C₂⁴:D₉	φ: C₂²:S₄/C₂²:A₄ → C₂ ⊆ Aut C₃	36	6	C3.(C2^2:S4)	288,836

Extensions 1→N→G→Q→1 with N=C3 and Q=C22:S4