Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
786 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #14563570 | C2 | semidirect |
| 5. #14562207 | C2 | semidirect |
| 6. #14561483 | C2 | semidirect |
| 7. C19×#2434 | C2 | semidirect |
| 129. C22⋊C4×C19 | SD16 | semidirect |
| 199. #2434 | D19 | semidirect |
| 311. C19 | #9949 | semidirect |
| 373. C22⋊C4 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574388 | 2 |
| C2×#11926683 | 2 |
| #14564471 | 2 |
| #14563570 | 2 |
| #14562207 | 2 |
| #14561483 | 2 |
| C19×#2434 | 2 |
| #9949 | 19 |