Extensions 1→N→G→Q→1 with N=C₃:S₃ and Q=Dic₃

Direct product G=NxQ with N=C₃:S₃ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₃:S₃		72		Dic3xC3:S3	216,125

Semidirect products G=N:Q with N=C₃:S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃:Dic₃ = C₆.S₃²	φ: Dic₃/C₂ → S₃ ⊆ Out C₃:S₃	36	6	C3:S3:Dic3	216,34
C₃:S₃:₂Dic₃ = C₃³:₉(C₂xC₄)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃:S₃	24	4	C3:S3:2Dic3	216,131
C₃:S₃:₃Dic₃ = C₂xC₃³:C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃:S₃	24	4	C3:S3:3Dic3	216,169

Non-split extensions G=N.Q with N=C₃:S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃.Dic₃ = C₃:F₉	φ: Dic₃/C₃ → C₄ ⊆ Out C₃:S₃	24	8	C3:S3.Dic3	216,155

Extensions 1→N→G→Q→1 with N=C3:S3 and Q=Dic3