Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²×Dic₃

Direct product G=N×Q with N=C₃ and Q=C₃²×Dic₃

		d	ρ	Label	ID
Dic₃×C₃³		108		Dic3xC3^3	324,155

Semidirect products G=N:Q with N=C₃ and Q=C₃²×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²×Dic₃) = C₃²×C₃⋊Dic₃	φ: C₃²×Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	36		C3:(C3^2xDic3)	324,156

Non-split extensions G=N.Q with N=C₃ and Q=C₃²×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×Dic₃) = C₃²×Dic₉	φ: C₃²×Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	108		C3.1(C3^2xDic3)	324,90
C₃.₂(C₃²×Dic₃) = C₃×C₃²⋊C₁₂	φ: C₃²×Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	36	6	C3.2(C3^2xDic3)	324,92
C₃.₃(C₃²×Dic₃) = C₃×C₉⋊C₁₂	φ: C₃²×Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	36	6	C3.3(C3^2xDic3)	324,94
C₃.₄(C₃²×Dic₃) = Dic₃×C₃×C₉	central extension (φ=1)	108		C3.4(C3^2xDic3)	324,91
C₃.₅(C₃²×Dic₃) = Dic₃×He₃	central stem extension (φ=1)	36	6	C3.5(C3^2xDic3)	324,93
C₃.₆(C₃²×Dic₃) = Dic₃×3_-¹⁺²	central stem extension (φ=1)	36	6	C3.6(C3^2xDic3)	324,95

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