Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₄xC₃:S₃

Direct product G=NxQ with N=C₃ and Q=C₂xC₄xC₃:S₃

		d	ρ	Label	ID
C₃:S₃xC₂xC₁₂		144		C3:S3xC2xC12	432,711

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₄xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₄xC₃:S₃) = C₄xS₃xC₃:S₃	φ: C₂xC₄xC₃:S₃/C₄xC₃:S₃ → C₂ ⊆ Aut C₃	72		C3:1(C2xC4xC3:S3)	432,670
C₃:₂(C₂xC₄xC₃:S₃) = C₂xC₃³:₈(C₂xC₄)	φ: C₂xC₄xC₃:S₃/C₂xC₃:Dic₃ → C₂ ⊆ Aut C₃	72		C3:2(C2xC4xC3:S3)	432,679
C₃:₃(C₂xC₄xC₃:S₃) = C₂xC₄xC₃³:C₂	φ: C₂xC₄xC₃:S₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	216		C3:3(C2xC4xC3:S3)	432,721
C₃:₄(C₂xC₄xC₃:S₃) = C₂xDic₃xC₃:S₃	φ: C₂xC₄xC₃:S₃/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	144		C3:4(C2xC4xC3:S3)	432,677

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₄xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₄xC₃:S₃) = C₂xC₄xC₉:S₃	φ: C₂xC₄xC₃:S₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	216		C3.(C2xC4xC3:S3)	432,381
C₃.₂(C₂xC₄xC₃:S₃) = C₂xC₄xHe₃:C₂	central stem extension (φ=1)	72		C3.2(C2xC4xC3:S3)	432,385

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