PGL(4,C)

In this page, there is a list of all primitive finite groups of $\rm{PGL}(4,\mathbb{C})$ acting on Project space $\mathbb{P}^3$,

(see Appendix A in FINITE COLLINEATION GROUPS AND BIRATIONAL RIGIDITY by I. Cheltsov and C. Shramov or A Monograph on the Classification of the Discrete Subgroups of $SU(4)$)

The explicit generators of $\textbf{primitive}$ groups $G$ and the Burnside symbols of $G$ acting on $\mathbb{P}^3$ are given in the following pages:

• $Case (1)$
• $Case (2)$
• $Case (3)$
• $Case (4)$
• $Case (5)$
• $Case (6)$
• $Case (7)$
• $Case (8)$
• $Case (9)$
• $Case (10)$
• $Case (11)$
• $Case (12)$
• $Case (13)$
• $Case (14)$
• $Case (15)$
• $Case (16)$
• $Case (17)$
• $Case (18)$
• $Case (19)$
• $Case (20)$
• $Case (21)$
• $Case (22)$
• $Case (23)$
• $Case (24)$
• $Case (25)$
• $Case (26)$
• $Case (27)$
• $Case (28)$
• $Case (29)$
• $Case (30)$