Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂⁴

Direct product G=NxQ with N=C₃ and Q=S₃xC₂⁴

		d	ρ	Label	ID
S₃xC₂³xC₆		96		S3xC2^3xC6	288,1043

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₂⁴) = S₃²xC₂³	φ: S₃xC₂⁴/S₃xC₂³ → C₂ ⊆ Aut C₃	48		C3:1(S3xC2^4)	288,1040
C₃:₂(S₃xC₂⁴) = C₂⁴xC₃:S₃	φ: S₃xC₂⁴/C₂³xC₆ → C₂ ⊆ Aut C₃	144		C3:2(S3xC2^4)	288,1044

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃xC₂⁴) = C₂⁴xD₉	φ: S₃xC₂⁴/C₂³xC₆ → C₂ ⊆ Aut C₃	144		C3.(S3xC2^4)	288,839

Extensions 1→N→G→Q→1 with N=C3 and Q=S3xC24