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

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

		d	ρ	Label	ID
C₃×D₄.S₃		24	4	C3xD4.S3	144,81

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.S₃) = D₁₂.S₃	φ: D₄.S₃/C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4-	C3:1(D4.S3)	144,59
C₃⋊₂(D₄.S₃) = Dic₆⋊S₃	φ: D₄.S₃/Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:2(D4.S3)	144,58
C₃⋊₃(D₄.S₃) = C₃²⋊₉SD₁₆	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₃	72		C3:3(D4.S3)	144,97

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄.S₃) = D₄.D₉	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₃	72	4-	C3.(D4.S3)	144,15

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