Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄².S₃

Direct product G=N×Q with N=C₃ and Q=C₄².S₃

		d	ρ	Label	ID
C₃×C₄².S₃		96		C3xC4^2.S3	288,237

Semidirect products G=N:Q with N=C₃ and Q=C₄².S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄².S₃) = C₃⋊C₈⋊Dic₃	φ: C₄².S₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C4^2.S3)	288,202
C₃⋊₂(C₄².S₃) = C₁₂².C₂	φ: C₄².S₃/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3:2(C4^2.S3)	288,278

Non-split extensions G=N.Q with N=C₃ and Q=C₄².S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄².S₃) = C₄².D₉	φ: C₄².S₃/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C4^2.S3)	288,10

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Extensions 1→N→G→Q→1 with N=C3 and Q=C42.S3