Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
416 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. #14562237 | C2 | semidirect |
| 5. #14561545 | C2 | semidirect |
| 6. #14561526 | C2 | semidirect |
| 7. C19×#1470 | C2 | semidirect |
| 166. #1470 | D19 | semidirect |
| 266. C19 | #9351 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573453 | 2 |
| #14572647 | 2 |
| #14562237 | 2 |
| #14562070 | 2 |
| #14561545 | 2 |
| #14561526 | 2 |
| C19×#1470 | 2 |
| #9351 | 19 |