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. #30630336 | C2 | semidirect |
| 5. #30630327 | C2 | semidirect |
| 7. C4×D1996 | C2 | semidirect |
| 8. C4×D1996 | C2 | semidirect |
| 9. #30630308 | C2 | semidirect |
| 10. C42×D499 | C2 | semidirect |
| 11. C4×Q8×C499 | C2 | semidirect |
| 74. C499 | #529 | semidirect |
| 82. C4×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 |
| #30630336 | 2 |
| #30630327 | 2 |
| #30630326 | 2 |
| C4×D1996 | 2 |
| #30630308 | 2 |
| C42×D499 | 2 |
| C4×Q8×C499 | 2 |
| #529 | 499 |