Extensions 1→N→G→Q→1 with N=C₆×C₃⋊S₃ and Q=C₃

Direct product G=N×Q with N=C₆×C₃⋊S₃ and Q=C₃

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

Semidirect products G=N:Q with N=C₆×C₃⋊S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₃⋊S₃)⋊C₃ = C₆×C₃²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₃⋊S₃	36	6	(C6xC3:S3):C3	324,138

Non-split extensions G=N.Q with N=C₆×C₃⋊S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₃⋊S₃).C₃ = C₂×C₃²⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₃⋊S₃	36	6	(C6xC3:S3).C3	324,62
(C₆×C₃⋊S₃).₂C₃ = C₁₈×C₃⋊S₃	φ: trivial image	108		(C6xC3:S3).2C3	324,143

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Extensions 1→N→G→Q→1 with N=C6×C3⋊S3 and Q=C3