Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
508 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14572669 | C2 | semidirect |
| 3. #14563463 | C2 | semidirect |
| 4. #14562246 | C2 | semidirect |
| 5. #14561535 | C2 | semidirect |
| 6. #14561491 | C2 | semidirect |
| 7. C19×#1502 | C2 | semidirect |
| 10. #11926831 | C4 | semidirect |
| 11. #11926831 | C4 | semidirect |
| 12. #11926736 | C4 | semidirect |
| 13. #11926736 | C4 | semidirect |
| 190. #1502 | D19 | semidirect |
| 302. C19 | #9163 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573722 | 2 |
| #14572669 | 2 |
| #14563463 | 2 |
| #14562246 | 2 |
| #14561535 | 2 |
| #14561491 | 2 |
| C19×#1502 | 2 |
| #9163 | 19 |