Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564410 | C2 | semidirect |
| 3. #14562406 | C2 | semidirect |
| 6. #14561510 | C2 | semidirect |
| 7. C19×#1565 | C2 | semidirect |
| 136. #1565 | D19 | semidirect |
| 213. C19 | #10607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564475 | 2 |
| #14564410 | 2 |
| #14562406 | 2 |
| #14562302 | 2 |
| C2×#11926287 | 2 |
| #14561510 | 2 |
| C19×#1565 | 2 |
| #10607 | 19 |