Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=S₃

Direct product G=N×Q with N=S₃×C₆ and Q=S₃

		d	ρ	Label	ID
S₃²×C₆		24	4	S3^2xC6	216,170

Semidirect products G=N:Q with N=S₃×C₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁S₃ = C₃×D₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6):1S3	216,121
(S₃×C₆)⋊₂S₃ = C₃×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	24	4	(S3xC6):2S3	216,122
(S₃×C₆)⋊₃S₃ = C₃³⋊₆D₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	72		(S3xC6):3S3	216,127
(S₃×C₆)⋊₄S₃ = C₃³⋊₇D₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	36		(S3xC6):4S3	216,128
(S₃×C₆)⋊₅S₃ = C₂×S₃×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	36		(S3xC6):5S3	216,171

Non-split extensions G=N.Q with N=S₃×C₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁S₃ = S₃×Dic₉	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	72	4-	(S3xC6).1S3	216,30
(S₃×C₆).₂S₃ = D₆⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	72	4-	(S3xC6).2S3	216,31
(S₃×C₆).₃S₃ = C₉⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	36	4+	(S3xC6).3S3	216,32
(S₃×C₆).₄S₃ = C₂×S₃×D₉	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	36	4+	(S3xC6).4S3	216,101
(S₃×C₆).₅S₃ = S₃×C₃⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₆	72		(S3xC6).5S3	216,124
(S₃×C₆).₆S₃ = C₃×S₃×Dic₃	φ: trivial image	24	4	(S3xC6).6S3	216,119

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