Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #31826289 | C2 | semidirect |
| 4. #31826288 | C2 | semidirect |
| 5. #31826281 | C2 | semidirect |
| 7. #362×C283 | C2 | semidirect |
| 61. C283 | #2239 | semidirect |
| 68. #362 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31826720 | 2 |
| #31826512 | 2 |
| #31826289 | 2 |
| #31826288 | 2 |
| #31826281 | 2 |
| #31826246 | 2 |
| #362×C283 | 2 |
| #2239 | 283 |