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

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

		d	ρ	Label	ID
C₃²×Dic₃		36		C3^2xDic3	108,32

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×Dic₃) = C₃×C₃⋊Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₃	36		C3:(C3xDic3)	108,33

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×Dic₃) = C₃×Dic₉	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₃	36	2	C3.1(C3xDic3)	108,6
C₃.₂(C₃×Dic₃) = C₃²⋊C₁₂	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₃	36	6-	C3.2(C3xDic3)	108,8
C₃.₃(C₃×Dic₃) = C₉⋊C₁₂	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₃	36	6-	C3.3(C3xDic3)	108,9
C₃.₄(C₃×Dic₃) = C₉×Dic₃	central extension (φ=1)	36	2	C3.4(C3xDic3)	108,7

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