Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×D₄.S₃

Direct product G=N×Q with N=C₃ and Q=C₂×D₄.S₃

		d	ρ	Label	ID
C₆×D₄.S₃		48		C6xD4.S3	288,704

Semidirect products G=N:Q with N=C₃ and Q=C₂×D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×D₄.S₃) = C₂×D₁₂.S₃	φ: C₂×D₄.S₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2xD4.S3)	288,476
C₃⋊₂(C₂×D₄.S₃) = S₃×D₄.S₃	φ: C₂×D₄.S₃/D₄.S₃ → C₂ ⊆ Aut C₃	48	8-	C3:2(C2xD4.S3)	288,576
C₃⋊₃(C₂×D₄.S₃) = C₂×Dic₆⋊S₃	φ: C₂×D₄.S₃/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:3(C2xD4.S3)	288,474
C₃⋊₄(C₂×D₄.S₃) = C₂×C₃²⋊₉SD₁₆	φ: C₂×D₄.S₃/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3:4(C2xD4.S3)	288,790

Non-split extensions G=N.Q with N=C₃ and Q=C₂×D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×D₄.S₃) = C₂×D₄.D₉	φ: C₂×D₄.S₃/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3.(C2xD4.S3)	288,141

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