Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
676 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14572680 | C2 | semidirect |
| 3. #14563579 | C2 | semidirect |
| 4. #14562127 | C2 | semidirect |
| 5. #14561523 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C19×#1780 | C2 | semidirect |
| 11. #11926700 | C4 | semidirect |
| 12. #11926695 | C4 | semidirect |
| 14. #11926683 | C4 | semidirect |
| 15. #11926678 | C4 | semidirect |
| 251. #1780 | D19 | semidirect |
| 385. C19 | #9037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572853 | 2 |
| #14572680 | 2 |
| #14563579 | 2 |
| #14562127 | 2 |
| #14561523 | 2 |
| #14561482 | 2 |
| C19×#1780 | 2 |
| #9037 | 19 |