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
C₃×C₃⋊Dic₃		36		C3xC3:Dic3	108,33

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊Dic₃) = C₃³⋊₅C₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₃	108		C3:(C3:Dic3)	108,34

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊Dic₃) = C₉⋊Dic₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₃	108		C3.(C3:Dic3)	108,10
C₃.₂(C₃⋊Dic₃) = He₃⋊₃C₄	central stem extension (φ=1)	36	3	C3.2(C3:Dic3)	108,11

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