Finite Group DatabasebetaFinite Group DatabasebetaOrder 31936.
270 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×Q8×D499 | C2 | semidirect |
| 3. #30630350 | C2 | semidirect |
| 4. #30630337 | C2 | semidirect |
| 5. #30630336 | C2 | semidirect |
| 6. #30630333 | C2 | semidirect |
| 7. #30630331 | C2 | semidirect |
| 8. #30630330 | C2 | semidirect |
| 9. #30630327 | C2 | semidirect |
| 10. #30630309 | C2 | semidirect |
| 11. C22⋊Q8×C499 | C2 | semidirect |
| 83. C499 | #536 | semidirect |
| 94. C22⋊Q8 | D499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22547811 | 2 |
| C2×Q8×D499 | 2 |
| #30630350 | 2 |
| #30630337 | 2 |
| #30630336 | 2 |
| #30630333 | 2 |
| #30630331 | 2 |
| #30630330 | 2 |
| #30630327 | 2 |
| #30630309 | 2 |
| C22⋊Q8×C499 | 2 |
| #536 | 499 |