Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xD₄

Direct product G=NxQ with N=C₃ and Q=C₃xD₄

		d	ρ	Label	ID
D₄xC₃²		36		D4xC3^2	72,37

Semidirect products G=N:Q with N=C₃ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xD₄) = C₃xD₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₃	24	2	C3:1(C3xD4)	72,28
C₃:₂(C₃xD₄) = C₃xC₃:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₃	12	2	C3:2(C3xD4)	72,30

Non-split extensions G=N.Q with N=C₃ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xD₄) = D₄xC₉	central extension (φ=1)	36	2	C3.(C3xD4)	72,10

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xD4