Finite Group DatabasebetaFinite Group DatabasebetaOrder 29824.
214 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 61 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. #28416489 | C2 | semidirect |
| 3. #28416485 | C2 | semidirect |
| 4. #28416161 | C2 | semidirect |
| 7. #324×C233 | C2 | semidirect |
| 106. C233 | #1473 | semidirect |
| 112. #324 | D233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21418530 | 2 |
| #28416489 | 2 |
| #28416485 | 2 |
| #28416161 | 2 |
| #28416158 | 2 |
| #324×C233 | 2 |
| #1473 | 233 |