Finite Group DatabasebetaFinite Group DatabasebetaOrder 31936.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 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. #30630346 | C2 | semidirect |
| 2. #30630342 | C2 | semidirect |
| 3. #30630340 | C2 | semidirect |
| 4. #30630335 | C2 | semidirect |
| 6. Q8×Dic499 | C2 | semidirect |
| 7. #30630313 | C2 | semidirect |
| 8. (C22⋊D499)⋊C4 | C2 | semidirect |
| 9. #30630309 | C2 | semidirect |
| 10. C2×C4×Dic499 | C2 | semidirect |
| 11. C22⋊Q8×C499 | C2 | semidirect |
| 74. C499 | #529 | semidirect |
| 80. C22⋊Q8 | D499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30630346 | 2 |
| #30630342 | 2 |
| #30630340 | 2 |
| #30630335 | 2 |
| #30630325 | 2 |
| Q8×Dic499 | 2 |
| #30630313 | 2 |
| (C22⋊D499)⋊C4 | 2 |
| #30630309 | 2 |
| C2×C4×Dic499 | 2 |
| C22⋊Q8×C499 | 2 |
| #529 | 499 |