Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
386 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14563789 | C2 | semidirect |
| 3. #14562335 | C2 | semidirect |
| 6. #14561504 | C2 | semidirect |
| 7. C19×#1506 | C2 | semidirect |
| 139. #1506 | D19 | semidirect |
| 221. C19 | #10514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574947 | 2 |
| #14563789 | 2 |
| #14562335 | 2 |
| #14562331 | 2 |
| #14562142 | 2 |
| #14561504 | 2 |
| C19×#1506 | 2 |
| #10514 | 19 |