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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃⋊S₃) = C₂×C₃³⋊C₂	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₆	54		C6:(C3:S3)	108,44

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃⋊S₃) = C₉⋊Dic₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₆	108		C6.1(C3:S3)	108,10
C₆.₂(C₃⋊S₃) = C₂×C₉⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₆	54		C6.2(C3:S3)	108,27
C₆.₃(C₃⋊S₃) = C₃³⋊₅C₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₆	108		C6.3(C3:S3)	108,34
C₆.₄(C₃⋊S₃) = He₃⋊₃C₄	central extension (φ=1)	36	3	C6.4(C3:S3)	108,11
C₆.₅(C₃⋊S₃) = C₂×He₃⋊C₂	central extension (φ=1)	18	3	C6.5(C3:S3)	108,28
C₆.₆(C₃⋊S₃) = C₃×C₃⋊Dic₃	central extension (φ=1)	36		C6.6(C3:S3)	108,33

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