Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
470 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14564580 | C2 | semidirect |
| 5. #14562385 | C2 | semidirect |
| 6. #14561536 | C2 | semidirect |
| 7. C19×#1550 | C2 | semidirect |
| 115. #64520 | SD16 | semidirect |
| 168. #1550 | D19 | semidirect |
| 259. C19 | #10504 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574573 | 2 |
| #14564580 | 2 |
| #14564561 | 2 |
| #14564474 | 2 |
| #14562385 | 2 |
| #14561536 | 2 |
| C19×#1550 | 2 |
| #10504 | 19 |