Extensions 1→N→G→Q→1 with N=C₃² and Q=Dic₉

Direct product G=N×Q with N=C₃² and Q=Dic₉

		d	ρ	Label	ID
C₃²×Dic₉		108		C3^2xDic9	324,90

Semidirect products G=N:Q with N=C₃² and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁Dic₉ = C₃²⋊Dic₉	φ: Dic₉/C₆ → S₃ ⊆ Aut C₃²	108		C3^2:1Dic9	324,8
C₃²⋊₂Dic₉ = C₃²⋊₂Dic₉	φ: Dic₉/C₆ → S₃ ⊆ Aut C₃²	36	6	C3^2:2Dic9	324,20
C₃²⋊₃Dic₉ = C₃²⋊₃Dic₉	φ: Dic₉/C₉ → C₄ ⊆ Aut C₃²	36	4	C3^2:3Dic9	324,112
C₃²⋊₄Dic₉ = C₃×C₉⋊Dic₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₃²	108		C3^2:4Dic9	324,96
C₃²⋊₅Dic₉ = C₃²⋊₅Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₃²	324		C3^2:5Dic9	324,103

Non-split extensions G=N.Q with N=C₃² and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².Dic₉ = C₂₇⋊C₁₂	φ: Dic₉/C₆ → S₃ ⊆ Aut C₃²	108	6-	C3^2.Dic9	324,12
C₃².₂Dic₉ = C₃×Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₃²	108	2	C3^2.2Dic9	324,10
C₃².₃Dic₉ = C₂₇⋊Dic₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₃²	324		C3^2.3Dic9	324,21

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