Extensions 1→N→G→Q→1 with N=C₃²×C₃⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₃²×C₃⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₃⋊S₃×C₃×C₆		36		C3:S3xC3xC6	324,173

Semidirect products G=N:Q with N=C₃²×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₃⋊S₃)⋊₁C₂ = S₃²×C₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	36		(C3^2xC3:S3):1C2	324,165
(C₃²×C₃⋊S₃)⋊₂C₂ = C₃×S₃×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	36		(C3^2xC3:S3):2C2	324,166
(C₃²×C₃⋊S₃)⋊₃C₂ = C₃×C₃²⋊₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	12	4	(C3^2xC3:S3):3C2	324,167
(C₃²×C₃⋊S₃)⋊₄C₂ = C₃⋊S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	18		(C3^2xC3:S3):4C2	324,169
(C₃²×C₃⋊S₃)⋊₅C₂ = C₃³⋊₁₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	36		(C3^2xC3:S3):5C2	324,170

Non-split extensions G=N.Q with N=C₃²×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₃⋊S₃).₁C₂ = C₃²×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	36		(C3^2xC3:S3).1C2	324,161
(C₃²×C₃⋊S₃).₂C₂ = C₃×C₃³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	12	4	(C3^2xC3:S3).2C2	324,162
(C₃²×C₃⋊S₃).₃C₂ = C₃⁴⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₃⋊S₃	36		(C3^2xC3:S3).3C2	324,163

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