Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂xC₄

Direct product G=NxQ with N=C₃ and Q=S₃xC₂xC₄

		d	ρ	Label	ID
S₃xC₂xC₁₂		48		S3xC2xC12	144,159

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₂xC₄) = C₄xS₃²	φ: S₃xC₂xC₄/C₄xS₃ → C₂ ⊆ Aut C₃	24	4	C3:1(S3xC2xC4)	144,143
C₃:₂(S₃xC₂xC₄) = C₂xC₆.D₆	φ: S₃xC₂xC₄/C₂xDic₃ → C₂ ⊆ Aut C₃	24		C3:2(S3xC2xC4)	144,149
C₃:₃(S₃xC₂xC₄) = C₂xC₄xC₃:S₃	φ: S₃xC₂xC₄/C₂xC₁₂ → C₂ ⊆ Aut C₃	72		C3:3(S3xC2xC4)	144,169
C₃:₄(S₃xC₂xC₄) = C₂xS₃xDic₃	φ: S₃xC₂xC₄/C₂²xS₃ → C₂ ⊆ Aut C₃	48		C3:4(S3xC2xC4)	144,146

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃xC₂xC₄) = C₂xC₄xD₉	φ: S₃xC₂xC₄/C₂xC₁₂ → C₂ ⊆ Aut C₃	72		C3.(S3xC2xC4)	144,38

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