Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²xC₁₂

Direct product G=NxQ with N=C₃ and Q=C₃²xC₁₂

		d	ρ	Label	ID
C₃³xC₁₂		324		C3^3xC12	324,159

Semidirect products G=N:Q with N=C₃ and Q=C₃²xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃²xC₁₂) = Dic₃xC₃³	φ: C₃²xC₁₂/C₃²xC₆ → C₂ ⊆ Aut C₃	108		C3:(C3^2xC12)	324,155

Non-split extensions G=N.Q with N=C₃ and Q=C₃²xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²xC₁₂) = C₁₂xHe₃	central stem extension (φ=1)	108		C3.1(C3^2xC12)	324,106
C₃.₂(C₃²xC₁₂) = C₁₂x3_-¹⁺²	central stem extension (φ=1)	108		C3.2(C3^2xC12)	324,107
C₃.₃(C₃²xC₁₂) = C₄xC₉oHe₃	central stem extension (φ=1)	108	3	C3.3(C3^2xC12)	324,108

Extensions 1→N→G→Q→1 with N=C3 and Q=C32xC12