Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
652 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14564590 | C2 | semidirect |
| 3. #14564580 | C2 | semidirect |
| 4. #14562238 | C2 | semidirect |
| 7. C19×#1552 | C2 | semidirect |
| 8. C19⋊#564 | C4 | semidirect |
| 9. #11927298 | C4 | semidirect |
| 221. #1552 | D19 | semidirect |
| 354. C19 | #8512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578245 | 2 |
| #14564590 | 2 |
| #14564580 | 2 |
| #14562238 | 2 |
| #14562161 | 2 |
| #14562046 | 2 |
| C19×#1552 | 2 |
| #8512 | 19 |