User:Tomruen/List of finite Coxeter groups

Finite Coxeter groups are listed here up to rank 10 for connected groups, and disconnected groups up to rank 8.

2 rank


Note: Above rank 2, only the general I2(p) group is enumerated in place of the others.

9 rank


There are 3 fundamental groups for rank 9 and higher.

10 rank


There are 3 fundamental groups for rank 9 or higher.

Special case prismatic reductions
The product of n A1 groups can be associated with the higher symmetry BCn.
 * A1×A1 = BC2 : =
 * A1×A1×A1= BC3 : =
 * A1×A1×A1×A1 = BC4 : =
 * A1×A1×A1×A1×A1 = BC5 : =