Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
472 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14572652 | C2 | semidirect |
| 3. #14563446 | C2 | semidirect |
| 4. #14562227 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561508 | C2 | semidirect |
| 7. C19×#1505 | C2 | semidirect |
| 10. #11926826 | C4 | semidirect |
| 11. #11926821 | C4 | semidirect |
| 12. #11926741 | C4 | semidirect |
| 13. #11926736 | C4 | semidirect |
| 179. #1505 | D19 | semidirect |
| 284. C19 | #9162 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573780 | 2 |
| #14572652 | 2 |
| #14563446 | 2 |
| #14562227 | 2 |
| #14561528 | 2 |
| #14561508 | 2 |
| C19×#1505 | 2 |
| #9162 | 19 |