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

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

		d	ρ	Label	ID
C₃⋊S₃×C₃×C₉		54		C3:S3xC3xC9	486,228

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊S₃)⋊C₉ = C₃×C₃²⋊C₁₈	φ: C₉/C₃ → C₃ ⊆ Out C₃×C₃⋊S₃	54		(C3xC3:S3):C9	486,93

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊S₃).C₉ = C₃²⋊C₅₄	φ: C₉/C₃ → C₃ ⊆ Out C₃×C₃⋊S₃	54	6	(C3xC3:S3).C9	486,16
(C₃×C₃⋊S₃).₂C₉ = C₃⋊S₃×C₂₇	φ: trivial image	162		(C3xC3:S3).2C9	486,161

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