Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂²:C₄

Direct product G=NxQ with N=C₃ and Q=S₃xC₂²:C₄

		d	ρ	Label	ID
C₃xS₃xC₂²:C₄		48		C3xS3xC2^2:C4	288,651

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₂²:C₄) = C₆².₉₁C₂³	φ: S₃xC₂²:C₄/D₆:C₄ → C₂ ⊆ Aut C₃	48		C3:1(S3xC2^2:C4)	288,569
C₃:₂(S₃xC₂²:C₄) = C₆².₁₁₆C₂³	φ: S₃xC₂²:C₄/C₆.D₄ → C₂ ⊆ Aut C₃	24		C3:2(S3xC2^2:C4)	288,622
C₃:₃(S₃xC₂²:C₄) = C₂²:C₄xC₃:S₃	φ: S₃xC₂²:C₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	72		C3:3(S3xC2^2:C4)	288,737
C₃:₄(S₃xC₂²:C₄) = S₃xD₆:C₄	φ: S₃xC₂²:C₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	48		C3:4(S3xC2^2:C4)	288,568
C₃:₅(S₃xC₂²:C₄) = S₃xC₆.D₄	φ: S₃xC₂²:C₄/S₃xC₂³ → C₂ ⊆ Aut C₃	48		C3:5(S3xC2^2:C4)	288,616

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃xC₂²:C₄) = C₂²:C₄xD₉	φ: S₃xC₂²:C₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	72		C3.(S3xC2^2:C4)	288,90

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