Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
400 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14564624 | C2 | semidirect |
| 4. #14562351 | C2 | semidirect |
| 6. #14561545 | C2 | semidirect |
| 7. C19×#1291 | C2 | semidirect |
| 162. #1291 | D19 | semidirect |
| 258. C19 | #9338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574858 | 2 |
| #14572807 | 2 |
| #14564624 | 2 |
| #14562351 | 2 |
| #14562240 | 2 |
| #14561545 | 2 |
| C19×#1291 | 2 |
| #9338 | 19 |