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

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

		d	ρ	Label	ID
C₃²×C₃⋊Dic₃		36		C3^2xC3:Dic3	324,156

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₃⋊Dic₃) = C₃×C₃³⋊₅C₄	φ: C₃×C₃⋊Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	108		C3:(C3xC3:Dic3)	324,157

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₃⋊Dic₃) = C₃×C₉⋊Dic₃	φ: C₃×C₃⋊Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	108		C3.1(C3xC3:Dic3)	324,96
C₃.₂(C₃×C₃⋊Dic₃) = C₃³⋊₄C₁₂	φ: C₃×C₃⋊Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	108		C3.2(C3xC3:Dic3)	324,98
C₃.₃(C₃×C₃⋊Dic₃) = C₃³.Dic₃	φ: C₃×C₃⋊Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	108		C3.3(C3xC3:Dic3)	324,100
C₃.₄(C₃×C₃⋊Dic₃) = He₃.₄Dic₃	φ: C₃×C₃⋊Dic₃/C₃²×C₆ → C₂ ⊆ Aut C₃	108	6-	C3.4(C3xC3:Dic3)	324,101
C₃.₅(C₃×C₃⋊Dic₃) = C₉×C₃⋊Dic₃	central extension (φ=1)	108		C3.5(C3xC3:Dic3)	324,97
C₃.₆(C₃×C₃⋊Dic₃) = C₃×He₃⋊₃C₄	central stem extension (φ=1)	108		C3.6(C3xC3:Dic3)	324,99
C₃.₇(C₃×C₃⋊Dic₃) = He₃.₅C₁₂	central stem extension (φ=1)	108	3	C3.7(C3xC3:Dic3)	324,102

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