Extensions 1→N→G→Q→1 with N=C₃xDic₃ and Q=S₃

Direct product G=NxQ with N=C₃xDic₃ and Q=S₃

		d	ρ	Label	ID
C₃xS₃xDic₃		24	4	C3xS3xDic3	216,119

Semidirect products G=N:Q with N=C₃xDic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃):₁S₃ = C₃³:₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	36		(C3xDic3):1S3	216,129
(C₃xDic₃):₂S₃ = Dic₃xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	72		(C3xDic3):2S3	216,125
(C₃xDic₃):₃S₃ = C₃³:₈(C₂xC₄)	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	36		(C3xDic3):3S3	216,126
(C₃xDic₃):₄S₃ = C₃xC₃:D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	24	4	(C3xDic3):4S3	216,122
(C₃xDic₃):₅S₃ = C₃xC₆.D₆	φ: trivial image	24	4	(C3xDic3):5S3	216,120

Non-split extensions G=N.Q with N=C₃xDic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃).₁S₃ = C₉:Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	72	4-	(C3xDic3).1S3	216,26
(C₃xDic₃).₂S₃ = C₃:D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	36	4+	(C3xDic3).2S3	216,29
(C₃xDic₃).₃S₃ = C₃³:₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	72		(C3xDic3).3S3	216,130
(C₃xDic₃).₄S₃ = Dic₃xD₉	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	72	4-	(C3xDic3).4S3	216,27
(C₃xDic₃).₅S₃ = C₁₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	36	4+	(C3xDic3).5S3	216,28
(C₃xDic₃).₆S₃ = C₃xC₃²:₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xDic₃	24	4	(C3xDic3).6S3	216,123

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