Finite Group DatabasebetaFinite Group DatabasebetaOrder 31936.
110 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 37 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. #30630342 | C2 | semidirect |
| 3. #30630273 | C2 | semidirect |
| 4. #30630272 | C2 | semidirect |
| 5. #30630271 | C2 | semidirect |
| 6. #30630261 | C2 | semidirect |
| 7. #102×C499 | C2 | semidirect |
| 52. C499 | #490 | semidirect |
| 59. #102 | D499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30630347 | 2 |
| #30630342 | 2 |
| #30630273 | 2 |
| #30630272 | 2 |
| #30630271 | 2 |
| #30630261 | 2 |
| #102×C499 | 2 |
| #490 | 499 |