Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14566237 | C2 | semidirect |
| 5. C2×#11926269 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1289 | C2 | semidirect |
| 12. #11926476 | C4 | semidirect |
| 14. #11926462 | C4 | semidirect |
| 188. #1289 | D19 | semidirect |
| 291. C19 | #9206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569380 | 2 |
| #14566237 | 2 |
| #14562204 | 2 |
| #14562202 | 2 |
| C2×#11926269 | 2 |
| #14561502 | 2 |
| C19×#1289 | 2 |
| #9206 | 19 |