Extensions 1→N→G→Q→1 with N=C₄×D₉ and Q=S₃

Direct product G=N×Q with N=C₄×D₉ and Q=S₃

		d	ρ	Label	ID
C₄×S₃×D₉		72	4	C4xS3xD9	432,290

Semidirect products G=N:Q with N=C₄×D₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉)⋊₁S₃ = Dic₆⋊₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₉	72	4+	(C4xD9):1S3	432,282
(C₄×D₉)⋊₂S₃ = D₁₂⋊₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₉	144	4-	(C4xD9):2S3	432,285
(C₄×D₉)⋊₃S₃ = D₉×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₉	72	4+	(C4xD9):3S3	432,292
(C₄×D₉)⋊₄S₃ = D₆.D₁₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₉	72	4	(C4xD9):4S3	432,287

Non-split extensions G=N.Q with N=C₄×D₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉).₁S₃ = D₉×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₉	144	4-	(C4xD9).1S3	432,280
(C₄×D₉).₂S₃ = C₃₆.₃₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₉	144	4	(C4xD9).2S3	432,60
(C₄×D₉).₃S₃ = D₉×C₃⋊C₈	φ: trivial image	144	4	(C4xD9).3S3	432,58

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