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

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

		d	ρ	Label	ID
C₃xD₄.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/C₃xD₄ → 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/C₃xD₄ → C₂ ⊆ Aut C₃	72	4-	C3.(D4.S3)	144,15

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