Subgroup index | 1 | 2 | 4 | |||
---|---|---|---|---|---|---|
Diagram | ![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
Coxeter | [4,4] | [1+,4,4] | [4,4,1+] | [4,1+,4] | [4,1+,4,1+] | [1+,4,4,1+] |
Orbifold | (*442) | (*2222) | (2*22) | (*2222) | ||
Diagram | ![]() |
![]() |
![]() |
![]() |
![]() | |
Coxeter | [4,4+] | [4+,4] | [(4,4,2+)] | [1+,4,1+,4] | [4+,4+] | |
Orbifold | (4*2) | (2*22) | (22×) | |||
Rotational subgroups | ||||||
Index | 2 | 4 | 8 | |||
Diagram | ![]() |
![]() |
![]() |
![]() |
![]() | |
Coxeter | [4,4]+ | [1+,4,4+] | [4+,4,1+] | [(4,1+,4,2+)] | [1+,4,1+,4,1+] = [(4+,4+,2+)] | |
Orbifold | (442) | (2222) |