Extensions 1→N→G→Q→1 with N=C₆ and Q=C₉⋊S₃

Direct product G=N×Q with N=C₆ and Q=C₉⋊S₃

		d	ρ	Label	ID
C₆×C₉⋊S₃		108		C6xC9:S3	324,142

Semidirect products G=N:Q with N=C₆ and Q=C₉⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₉⋊S₃) = C₂×C₃²⋊₄D₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₆	162		C6:(C9:S3)	324,149

Non-split extensions G=N.Q with N=C₆ and Q=C₉⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₉⋊S₃) = C₉⋊Dic₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₆	324		C6.1(C9:S3)	324,19
C₆.₂(C₉⋊S₃) = C₂₇⋊Dic₃	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₆	324		C6.2(C9:S3)	324,21
C₆.₃(C₉⋊S₃) = C₂×C₉⋊D₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₆	162		C6.3(C9:S3)	324,74
C₆.₄(C₉⋊S₃) = C₂×C₂₇⋊S₃	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₆	162		C6.4(C9:S3)	324,76
C₆.₅(C₉⋊S₃) = C₃²⋊₅Dic₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₆	324		C6.5(C9:S3)	324,103
C₆.₆(C₉⋊S₃) = C₃²⋊₂Dic₉	central extension (φ=1)	36	6	C6.6(C9:S3)	324,20
C₆.₇(C₉⋊S₃) = C₂×C₃²⋊₂D₉	central extension (φ=1)	36	6	C6.7(C9:S3)	324,75
C₆.₈(C₉⋊S₃) = C₃×C₉⋊Dic₃	central extension (φ=1)	108		C6.8(C9:S3)	324,96

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