Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×Dic₉

Direct product G=N×Q with N=C₃ and Q=C₃×Dic₉

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

Semidirect products G=N:Q with N=C₃ and Q=C₃×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×Dic₉) = C₃×C₉⋊Dic₃	φ: C₃×Dic₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	108		C3:(C3xDic9)	324,96

Non-split extensions G=N.Q with N=C₃ and Q=C₃×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×Dic₉) = C₃²⋊Dic₉	φ: C₃×Dic₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	108		C3.1(C3xDic9)	324,8
C₃.₂(C₃×Dic₉) = C₃×Dic₂₇	φ: C₃×Dic₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	108	2	C3.2(C3xDic9)	324,10
C₃.₃(C₃×Dic₉) = C₂₇⋊C₁₂	φ: C₃×Dic₉/C₃×C₁₈ → C₂ ⊆ Aut C₃	108	6-	C3.3(C3xDic9)	324,12
C₃.₄(C₃×Dic₉) = C₉×Dic₉	central extension (φ=1)	36	2	C3.4(C3xDic9)	324,6

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