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

Direct product G=N×Q with N=C₃×Dic₃ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×Dic₃		24	4	C3xS3xDic3	216,119

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁S₃ = C₃³⋊₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	36		(C3xDic3):1S3	216,129
(C₃×Dic₃)⋊₂S₃ = Dic₃×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	72		(C3xDic3):2S3	216,125
(C₃×Dic₃)⋊₃S₃ = C₃³⋊₈(C₂×C₄)	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	36		(C3xDic3):3S3	216,126
(C₃×Dic₃)⋊₄S₃ = C₃×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3):4S3	216,122
(C₃×Dic₃)⋊₅S₃ = C₃×C₆.D₆	φ: trivial image	24	4	(C3xDic3):5S3	216,120

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁S₃ = C₉⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	72	4-	(C3xDic3).1S3	216,26
(C₃×Dic₃).₂S₃ = C₃⋊D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	36	4+	(C3xDic3).2S3	216,29
(C₃×Dic₃).₃S₃ = C₃³⋊₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	72		(C3xDic3).3S3	216,130
(C₃×Dic₃).₄S₃ = Dic₃×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	72	4-	(C3xDic3).4S3	216,27
(C₃×Dic₃).₅S₃ = C₁₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	36	4+	(C3xDic3).5S3	216,28
(C₃×Dic₃).₆S₃ = C₃×C₃²⋊₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3).6S3	216,123

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