Finite Group DatabasebetaFinite Group DatabasebetaOrder 31936.
124 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 47 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×#22547800 | C2 | semidirect |
| 2. #30630330 | C2 | semidirect |
| 4. #30630283 | C2 | semidirect |
| 5. #30630276 | C2 | semidirect |
| 6. #30630273 | C2 | semidirect |
| 7. C22×C8×C499 | C2 | semidirect |
| 36. C8×C499 | D4 | semidirect |
| 39. C22×C499 | SD16 | semidirect |
| 55. C499 | #465 | semidirect |
| 58. C22×C8 | D499 | semidirect |
| 92. C8 | C22⋊D499 | semidirect |
| 98. C22 | #22547800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22547800 | 2 |
| #30630330 | 2 |
| #30630325 | 2 |
| #30630283 | 2 |
| #30630276 | 2 |
| #30630273 | 2 |
| C22×C8×C499 | 2 |
| #465 | 499 |