Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×Dic₃

Direct product G=N×Q with N=C₉ and Q=C₃×Dic₃

		d	ρ	Label	ID
Dic₃×C₃×C₉		108		Dic3xC3xC9	324,91

Semidirect products G=N:Q with N=C₉ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃×Dic₃) = C₃³.Dic₃	φ: C₃×Dic₃/C₆ → C₆ ⊆ Aut C₉	108		C9:(C3xDic3)	324,100
C₉⋊₂(C₃×Dic₃) = Dic₃×3_-¹⁺²	φ: C₃×Dic₃/Dic₃ → C₃ ⊆ Aut C₉	36	6	C9:2(C3xDic3)	324,95
C₉⋊₃(C₃×Dic₃) = C₃×C₉⋊Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₉	108		C9:3(C3xDic3)	324,96

Non-split extensions G=N.Q with N=C₉ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁(C₃×Dic₃) = C₃×Dic₂₇	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₉	108	2	C9.1(C3xDic3)	324,10
C₉.₂(C₃×Dic₃) = C₂₇⋊C₁₂	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₉	108	6-	C9.2(C3xDic3)	324,12
C₉.₃(C₃×Dic₃) = He₃.₄Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₉	108	6-	C9.3(C3xDic3)	324,101
C₉.₄(C₃×Dic₃) = Dic₃×C₂₇	central extension (φ=1)	108	2	C9.4(C3xDic3)	324,11

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