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

Direct product G=NxQ with N=C₃ and Q=C₃²:C₄

		d	ρ	Label	ID
C₃xC₃²: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

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