Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃×A₄

Direct product G=N×Q with N=C₃ and Q=Dic₃×A₄

		d	ρ	Label	ID
C₃×Dic₃×A₄		36	6	C3xDic3xA4	432,624

Semidirect products G=N:Q with N=C₃ and Q=Dic₃×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Dic₃×A₄) = A₄×C₃⋊Dic₃	φ: Dic₃×A₄/C₆×A₄ → C₂ ⊆ Aut C₃	108		C3:(Dic3xA4)	432,627

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃×A₄) = Dic₉⋊A₄	φ: Dic₃×A₄/C₆×A₄ → C₂ ⊆ Aut C₃	108	6-	C3.1(Dic3xA4)	432,265
C₃.₂(Dic₃×A₄) = A₄×Dic₉	φ: Dic₃×A₄/C₆×A₄ → C₂ ⊆ Aut C₃	108	6-	C3.2(Dic3xA4)	432,266
C₃.₃(Dic₃×A₄) = C₆²⋊₄C₁₂	φ: Dic₃×A₄/C₆×A₄ → C₂ ⊆ Aut C₃	36	6-	C3.3(Dic3xA4)	432,272
C₃.₄(Dic₃×A₄) = Dic₃×C₃.A₄	central extension (φ=1)	36	6	C3.4(Dic3xA4)	432,271

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