Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
398 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #14572740 | C2 | semidirect |
| 3. #14562346 | C2 | semidirect |
| 6. #14561498 | C2 | semidirect |
| 7. C19×#1308 | C2 | semidirect |
| 137. #1308 | D19 | semidirect |
| 219. C19 | #9334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574640 | 2 |
| #14572740 | 2 |
| #14562346 | 2 |
| #14562258 | 2 |
| #14561988 | 2 |
| #14561498 | 2 |
| C19×#1308 | 2 |
| #9334 | 19 |