Extensions 1→N→G→Q→1 with N=C₃xC₉ and Q=S₃

Direct product G=NxQ with N=C₃xC₉ and Q=S₃

		d	ρ	Label	ID
S₃xC₃xC₉		54		S3xC3xC9	162,33

Semidirect products G=N:Q with N=C₃xC₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉):₁S₃ = C₃²:C₁₈	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	18	6	(C3xC9):1S3	162,4
(C₃xC₉):₂S₃ = He₃.C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	3	(C3xC9):2S3	162,12
(C₃xC₉):₃S₃ = He₃.₂C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	3	(C3xC9):3S3	162,14
(C₃xC₉):₄S₃ = C₃²:₂D₉	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	18	6	(C3xC9):4S3	162,17
(C₃xC₉):₅S₃ = He₃.₃S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	6+	(C3xC9):5S3	162,20
(C₃xC₉):₆S₃ = He₃:S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	6+	(C3xC9):6S3	162,21
(C₃xC₉):₇S₃ = He₃.₄S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	6+	(C3xC9):7S3	162,43
(C₃xC₉):₈S₃ = He₃.₄C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	3	(C3xC9):8S3	162,44
(C₃xC₉):₉S₃ = C₉xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	54		(C3xC9):9S3	162,39
(C₃xC₉):₁₀S₃ = C₃xC₉:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	54		(C3xC9):10S3	162,38
(C₃xC₉):₁₁S₃ = C₃²:₄D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	81		(C3xC9):11S3	162,45

Non-split extensions G=N.Q with N=C₃xC₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉).₁S₃ = C₉:C₁₈	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	18	6	(C3xC9).1S3	162,6
(C₃xC₉).₂S₃ = 3_-¹⁺².S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	6+	(C3xC9).2S3	162,22
(C₃xC₉).₃S₃ = C₂₇:C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₉	27	6+	(C3xC9).3S3	162,9
(C₃xC₉).₄S₃ = C₉xD₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	18	2	(C3xC9).4S3	162,3
(C₃xC₉).₅S₃ = C₃xD₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	54	2	(C3xC9).5S3	162,7
(C₃xC₉).₆S₃ = C₉:D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	81		(C3xC9).6S3	162,16
(C₃xC₉).₇S₃ = C₂₇:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₉	81		(C3xC9).7S3	162,18

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