Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃⋊Dic₃

Direct product G=N×Q with N=C₃ and Q=Dic₃⋊Dic₃

		d	ρ	Label	ID
C₃×Dic₃⋊Dic₃		48		C3xDic3:Dic3	432,428

Semidirect products G=N:Q with N=C₃ and Q=Dic₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃⋊Dic₃) = C₆².₈₀D₆	φ: Dic₃⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	144		C3:1(Dic3:Dic3)	432,452
C₃⋊₂(Dic₃⋊Dic₃) = C₆².₈₂D₆	φ: Dic₃⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	144		C3:2(Dic3:Dic3)	432,454
C₃⋊₃(Dic₃⋊Dic₃) = C₆².₈₅D₆	φ: Dic₃⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:3(Dic3:Dic3)	432,462

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃⋊Dic₃) = Dic₉⋊Dic₃	φ: Dic₃⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	144		C3.1(Dic3:Dic3)	432,88
C₃.₂(Dic₃⋊Dic₃) = Dic₃⋊Dic₉	φ: Dic₃⋊Dic₃/C₆×Dic₃ → C₂ ⊆ Aut C₃	144		C3.2(Dic3:Dic3)	432,90
C₃.₃(Dic₃⋊Dic₃) = C₆².D₆	φ: Dic₃⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	144		C3.3(Dic3:Dic3)	432,95

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