Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
772 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 772 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14563567 | C2 | semidirect |
| 3. #14563555 | C2 | semidirect |
| 4. #14562178 | C2 | semidirect |
| 5. #14561540 | C2 | semidirect |
| 6. #14561512 | C2 | semidirect |
| 7. C19×#2976 | C2 | semidirect |
| 11. #11926694 | C4 | semidirect |
| 13. #11926677 | C4 | semidirect |
| 231. #2976 | D19 | semidirect |
| 362. C19 | #9520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572861 | 2 |
| #14563567 | 2 |
| #14563555 | 2 |
| #14562178 | 2 |
| #14561540 | 2 |
| #14561512 | 2 |
| C19×#2976 | 2 |
| #9520 | 19 |