Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×A₄⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₃×A₄⋊C₄

		d	ρ	Label	ID
C₃²×A₄⋊C₄		108		C3^2xA4:C4	432,615

Semidirect products G=N:Q with N=C₃ and Q=C₃×A₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×A₄⋊C₄) = C₃×C₆.₇S₄	φ: C₃×A₄⋊C₄/C₆×A₄ → C₂ ⊆ Aut C₃	36	6	C3:(C3xA4:C4)	432,618

Non-split extensions G=N.Q with N=C₃ and Q=C₃×A₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×A₄⋊C₄) = C₆².Dic₃	φ: C₃×A₄⋊C₄/C₆×A₄ → C₂ ⊆ Aut C₃	36	6-	C3.1(C3xA4:C4)	432,249
C₃.₂(C₃×A₄⋊C₄) = C₃×C₆.S₄	φ: C₃×A₄⋊C₄/C₆×A₄ → C₂ ⊆ Aut C₃	36	6	C3.2(C3xA4:C4)	432,250
C₃.₃(C₃×A₄⋊C₄) = C₆²⋊₅Dic₃	φ: C₃×A₄⋊C₄/C₆×A₄ → C₂ ⊆ Aut C₃	36	6-	C3.3(C3xA4:C4)	432,251
C₃.₄(C₃×A₄⋊C₄) = C₉×A₄⋊C₄	central extension (φ=1)	108	3	C3.4(C3xA4:C4)	432,242

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