Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=S₃

Direct product G=N×Q with N=C₃×C₉ and Q=S₃

		d	ρ	Label	ID
S₃×C₃×C₉		54		S3xC3xC9	162,33

Semidirect products G=N:Q with N=C₃×C₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁S₃ = C₃²⋊C₁₈	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	18	6	(C3xC9):1S3	162,4
(C₃×C₉)⋊₂S₃ = He₃.C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	3	(C3xC9):2S3	162,12
(C₃×C₉)⋊₃S₃ = He₃.₂C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	3	(C3xC9):3S3	162,14
(C₃×C₉)⋊₄S₃ = C₃²⋊₂D₉	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	18	6	(C3xC9):4S3	162,17
(C₃×C₉)⋊₅S₃ = He₃.₃S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	6+	(C3xC9):5S3	162,20
(C₃×C₉)⋊₆S₃ = He₃⋊S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	6+	(C3xC9):6S3	162,21
(C₃×C₉)⋊₇S₃ = He₃.₄S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	6+	(C3xC9):7S3	162,43
(C₃×C₉)⋊₈S₃ = He₃.₄C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	3	(C3xC9):8S3	162,44
(C₃×C₉)⋊₉S₃ = C₉×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):9S3	162,39
(C₃×C₉)⋊₁₀S₃ = C₃×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):10S3	162,38
(C₃×C₉)⋊₁₁S₃ = C₃²⋊₄D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	81		(C3xC9):11S3	162,45

Non-split extensions G=N.Q with N=C₃×C₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁S₃ = C₉⋊C₁₈	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	18	6	(C3xC9).1S3	162,6
(C₃×C₉).₂S₃ = 3_-¹⁺².S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	6+	(C3xC9).2S3	162,22
(C₃×C₉).₃S₃ = C₂₇⋊C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃×C₉	27	6+	(C3xC9).3S3	162,9
(C₃×C₉).₄S₃ = C₉×D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	18	2	(C3xC9).4S3	162,3
(C₃×C₉).₅S₃ = C₃×D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	54	2	(C3xC9).5S3	162,7
(C₃×C₉).₆S₃ = C₉⋊D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	81		(C3xC9).6S3	162,16
(C₃×C₉).₇S₃ = C₂₇⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃×C₉	81		(C3xC9).7S3	162,18

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