Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄xC₃²

Direct product G=NxQ with N=C₃ and Q=D₄xC₃²

		d	ρ	Label	ID
D₄xC₃³		108		D4xC3^3	216,151

Semidirect products G=N:Q with N=C₃ and Q=D₄xC₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₄xC₃²) = C₃²xD₁₂	φ: D₄xC₃²/C₃xC₁₂ → C₂ ⊆ Aut C₃	72		C3:1(D4xC3^2)	216,137
C₃:₂(D₄xC₃²) = C₃²xC₃:D₄	φ: D₄xC₃²/C₆² → C₂ ⊆ Aut C₃	36		C3:2(D4xC3^2)	216,139

Non-split extensions G=N.Q with N=C₃ and Q=D₄xC₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₄xC₃²) = D₄xC₃xC₉	central extension (φ=1)	108		C3.1(D4xC3^2)	216,76
C₃.₂(D₄xC₃²) = D₄xHe₃	central stem extension (φ=1)	36	6	C3.2(D4xC3^2)	216,77
C₃.₃(D₄xC₃²) = D₄x3_-¹⁺²	central stem extension (φ=1)	36	6	C3.3(D4xC3^2)	216,78

Extensions 1→N→G→Q→1 with N=C3 and Q=D4xC32