Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
736 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 736 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. #14562341 | C2 | semidirect |
| 3. #14562267 | C2 | semidirect |
| 4. #14562210 | C2 | semidirect |
| 5. #14562181 | C2 | semidirect |
| 6. #14562104 | C2 | semidirect |
| 7. C19×#1514 | C2 | semidirect |
| 9. #11927268 | C4 | semidirect |
| 11. #11927214 | C4 | semidirect |
| 13. #11927197 | C4 | semidirect |
| 16. #11927179 | C4 | semidirect |
| 24. #11926601 | C22 | semidirect |
| 25. #11926597 | C22 | semidirect |
| 36. C19×#432 | C22 | semidirect |
| 37. C19×#383 | C22 | semidirect |
| 252. #1514 | D19 | semidirect |
| 302. #432 | C2×D19 | semidirect |
| 304. #383 | C2×D19 | semidirect |
| 400. C19 | #8500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578001 | 2 |
| #14562341 | 2 |
| #14562267 | 2 |
| #14562210 | 2 |
| #14562181 | 2 |
| #14562104 | 2 |
| C19×#1514 | 2 |
| #8500 | 19 |