Extensions 1→N→G→Q→1 with N=C₂²×D₉ and Q=S₃

Direct product G=N×Q with N=C₂²×D₉ and Q=S₃

		d	ρ	Label	ID
C₂²×S₃×D₉		72		C2^2xS3xD9	432,544

Semidirect products G=N:Q with N=C₂²×D₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₉)⋊S₃ = D₉×S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₉	36	6+	(C2^2xD9):S3	432,521
(C₂²×D₉)⋊₂S₃ = C₂×C₃⋊D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₉	72		(C2^2xD9):2S3	432,307
(C₂²×D₉)⋊₃S₃ = C₂×D₆⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9):3S3	432,311
(C₂²×D₉)⋊₄S₃ = D₉×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₉	72	4	(C2^2xD9):4S3	432,314

Non-split extensions G=N.Q with N=C₂²×D₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₉).S₃ = D₁₈⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9).S3	432,91
(C₂²×D₉).₂S₃ = C₂×Dic₃×D₉	φ: trivial image	144		(C2^2xD9).2S3	432,304

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