Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
764 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #14572893 | C2 | semidirect |
| 3. #14563552 | C2 | semidirect |
| 4. #14562168 | C2 | semidirect |
| 5. #14562164 | C2 | semidirect |
| 6. #14561543 | C2 | semidirect |
| 7. C19×#2816 | C2 | semidirect |
| 220. #2816 | D19 | semidirect |
| 341. C19 | #9981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572893 | 2 |
| #14572885 | 2 |
| #14563552 | 2 |
| #14562168 | 2 |
| #14562164 | 2 |
| #14561543 | 2 |
| C19×#2816 | 2 |
| #9981 | 19 |