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

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

		d	ρ	Label	ID
C₆×C₉⋊C₆		36	6	C6xC9:C6	324,140

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₉⋊C₆) = C₂×C₃³.S₃	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₆	54		C6:(C9:C6)	324,146

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₉⋊C₆) = C₃²⋊Dic₉	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₆	108		C6.1(C9:C6)	324,8
C₆.₂(C₉⋊C₆) = C₂×C₃²⋊D₉	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₆	54		C6.2(C9:C6)	324,63
C₆.₃(C₉⋊C₆) = C₃³.Dic₃	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₆	108		C6.3(C9:C6)	324,100
C₆.₄(C₉⋊C₆) = C₉⋊C₃₆	central extension (φ=1)	36	6	C6.4(C9:C6)	324,9
C₆.₅(C₉⋊C₆) = C₂×C₉⋊C₁₈	central extension (φ=1)	36	6	C6.5(C9:C6)	324,64
C₆.₆(C₉⋊C₆) = C₃×C₉⋊C₁₂	central extension (φ=1)	36	6	C6.6(C9:C6)	324,94

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