Finite Group DatabasebetaFinite Group DatabasebetaOrder 31936.
120 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 39 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 |
|---|---|---|
| 1. C2×#22547798 | C2 | semidirect |
| 2. C2×#22547794 | C2 | semidirect |
| 3. #30630327 | C2 | semidirect |
| 5. #30630284 | C2 | semidirect |
| 6. #30630273 | C2 | semidirect |
| 7. #103×C499 | C2 | semidirect |
| 30. C499⋊C8 | D4 | semidirect |
| 55. C499 | #468 | semidirect |
| 62. #103 | D499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22547798 | 2 |
| C2×#22547794 | 2 |
| #30630327 | 2 |
| #30630326 | 2 |
| #30630284 | 2 |
| #30630273 | 2 |
| #103×C499 | 2 |
| #468 | 499 |