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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊D₉ = S₃×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Out C₂²×S₃	36	12+	(C2^2xS3):D9	432,522
(C₂²×S₃)⋊₂D₉ = C₂×D₆⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out C₂²×S₃	144		(C2^2xS3):2D9	432,311
(C₂²×S₃)⋊₃D₉ = C₂×C₉⋊D₁₂	φ: D₉/C₉ → C₂ ⊆ Out C₂²×S₃	72		(C2^2xS3):3D9	432,312
(C₂²×S₃)⋊₄D₉ = S₃×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂²×S₃	72	4	(C2^2xS3):4D9	432,313

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).D₉ = D₆⋊Dic₉	φ: D₉/C₉ → C₂ ⊆ Out C₂²×S₃	144		(C2^2xS3).D9	432,93
(C₂²×S₃).₂D₉ = C₂×S₃×Dic₉	φ: trivial image	144		(C2^2xS3).2D9	432,308

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