Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
508 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #14561514 | C2 | semidirect |
| 5. #14561502 | C2 | semidirect |
| 6. #14561483 | C2 | semidirect |
| 7. C19×#2549 | C2 | semidirect |
| 31. C22×D76 | Q8 | semidirect |
| 51. C2×C4⋊Dic19 | Q8 | semidirect |
| 186. #2549 | D19 | semidirect |
| 298. C19 | #10374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564471 | 2 |
| #14562202 | 2 |
| C2×#11926277 | 2 |
| #14561514 | 2 |
| #14561502 | 2 |
| #14561483 | 2 |
| C19×#2549 | 2 |
| #10374 | 19 |