Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
394 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14562426 | C2 | semidirect |
| 4. #14562316 | C2 | semidirect |
| 6. #14561525 | C2 | semidirect |
| 7. C19×#1966 | C2 | semidirect |
| 138. #1966 | D19 | semidirect |
| 222. C19 | #10489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574560 | 2 |
| #14562426 | 2 |
| #14562368 | 2 |
| #14562316 | 2 |
| #14562053 | 2 |
| #14561525 | 2 |
| C19×#1966 | 2 |
| #10489 | 19 |