Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₃²⋊C₄

		d	ρ	Label	ID
C₃×C₃²⋊C₄		12	4	C3xC3^2:C4	108,36

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊C₄) = C₃³⋊C₄	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₃	12	4	C3:(C3^2:C4)	108,37

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊C₄) = He₃⋊C₄	central stem extension (φ=1)	18	3	C3.(C3^2:C4)	108,15

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊C4