Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
888 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 888 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14564463 | C2 | semidirect |
| 3. #14562370 | C2 | semidirect |
| 4. #14562368 | C2 | semidirect |
| 5. C19×#1962 | C2 | semidirect |
| 6. #11927286 | C4 | semidirect |
| 14. #11926568 | C22 | semidirect |
| 21. C19×#423 | C22 | semidirect |
| 23. C43×C19 | C22 | semidirect |
| 146. #1962 | D19 | semidirect |
| 177. #423 | C2×D19 | semidirect |
| 180. C43 | C2×D19 | semidirect |
| 227. C19 | #8530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578040 | 2 |
| #14564463 | 2 |
| #14562370 | 2 |
| #14562368 | 2 |
| C19×#1962 | 2 |
| #8530 | 19 |