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

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

		d	ρ	Label	ID
C₆×C₃⋊S₃		36		C6xC3:S3	108,43

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊C₆ = C₂×C₃²⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₃⋊S₃	18	6+	C3:S3:C6	108,25
C₃⋊S₃⋊₂C₆ = C₃×S₃²	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊S₃	12	4	C3:S3:2C6	108,38

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.C₆ = C₃×C₃²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊S₃	12	4	C3:S3.C6	108,36

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