Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃³⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₃³⋊C₄

		d	ρ	Label	ID
C₃×C₃³⋊C₄		12	4	C3xC3^3:C4	324,162

Semidirect products G=N:Q with N=C₃ and Q=C₃³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃³⋊C₄) = C₃⁴⋊C₄	φ: C₃³⋊C₄/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₃	36		C3:(C3^3:C4)	324,163

Non-split extensions G=N.Q with N=C₃ and Q=C₃³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃³⋊C₄) = C₃²⋊₃Dic₉	φ: C₃³⋊C₄/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₃	36	4	C3.(C3^3:C4)	324,112
C₃.₂(C₃³⋊C₄) = He₃⋊₄Dic₃	central stem extension (φ=1)	18	6	C3.2(C3^3:C4)	324,113

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Extensions 1→N→G→Q→1 with N=C3 and Q=C33⋊C4