Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
262 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #30681986 | C2 | semidirect |
| 3. #30681962 | C2 | semidirect |
| 6. #30681708 | C2 | semidirect |
| 7. #339×C263 | C2 | semidirect |
| 18. #22554398 | C4 | semidirect |
| 19. #22554398 | C4 | semidirect |
| 97. C263 | #1861 | semidirect |
| 105. #339 | D263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30682704 | 2 |
| #30681986 | 2 |
| #30681962 | 2 |
| #30681956 | 2 |
| C2×#22554398 | 2 |
| #30681708 | 2 |
| #339×C263 | 2 |
| #1861 | 263 |