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 |