Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14562167 | C2 | semidirect |
| 5. #14562000 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 7. C19×#1306 | C2 | semidirect |
| 11. #11926880 | C4 | semidirect |
| 12. #11926863 | C4 | semidirect |
| 16. #11926702 | C4 | semidirect |
| 17. #11926685 | C4 | semidirect |
| 191. #1306 | D19 | semidirect |
| 304. C19 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574467 | 2 |
| #14572695 | 2 |
| #14562189 | 2 |
| #14562167 | 2 |
| #14562000 | 2 |
| #14561511 | 2 |
| C19×#1306 | 2 |
| #9331 | 19 |