Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
464 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14572695 | C2 | semidirect |
| 3. #14562189 | C2 | semidirect |
| 4. #14562163 | C2 | semidirect |
| 5. #14561996 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 7. C19×#1306 | C2 | semidirect |
| 10. #11926875 | C4 | semidirect |
| 12. #11926858 | C4 | semidirect |
| 15. #11926697 | C4 | semidirect |
| 17. #11926680 | C4 | semidirect |
| 196. #1306 | D19 | semidirect |
| 313. C19 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574451 | 2 |
| #14572695 | 2 |
| #14562189 | 2 |
| #14562163 | 2 |
| #14561996 | 2 |
| #14561511 | 2 |
| C19×#1306 | 2 |
| #9332 | 19 |