Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
264 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 65 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. #31823437 | C2 | semidirect |
| 3. #31823254 | C2 | semidirect |
| 4. #31823251 | C2 | semidirect |
| 5. #413×C281 | C2 | semidirect |
| 6. C22×C4×D281 | C4 | semidirect |
| 7. #22582860 | C4 | semidirect |
| 11. #22582847 | C4 | semidirect |
| 16. #22582838 | C4 | semidirect |
| 114. C281 | #2120 | semidirect |
| 117. #413 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823970 | 2 |
| #31823437 | 2 |
| #31823254 | 2 |
| #31823251 | 2 |
| #413×C281 | 2 |
| #2120 | 281 |