User:Tomruen/Coxeter groups
| Group symbol |
Bracket notation |
Coxeter graph |
Reflections m=5h/2[1] |
Coxeter number (h) |
Order |
|---|---|---|---|---|---|
| A5 | [3,3,3,3] |   |
15 | 6 | 720 |
| B5 | [4,3,3,3] |  |
25 | 10 | 3840 |
| D5 | [32,1,1] |   |
20 | 8 | 1920 |
| Prismatic groups | |||||
| B4A1 | [4,3,3,2] |  |
16+1 | 768 | |
| A4A1 | [3,3,3,2] | |
10+1 | 240 | |
| D4A1 | [31,1,1,2] | |
12+1 | 384 | |
| F4A1 | [3,4,3,2] | |
24+1 | 2304 | |
| H4A1 | [5,3,3,2] |  |
60+1 | 28800 | |
| I2(p)I2(q)A1 | [p,2,q,2] |   |
p+q+1 | 8pq | |
| Duoprismatic groups | |||||
| A3I2(p) | [3,3,2,p] | |
6+p | 48p | |
| B3I2(p) | [4,3,2,p] | |
3+6+p | 96p | |
| H3I2(p) | [5,3,2,p] | |
15+p | 240p | |