Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
544 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14566552 | C2 | semidirect |
| 5. #14562029 | C2 | semidirect |
| 6. #14561536 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 13. #11926755 | C4 | semidirect |
| 14. #11926745 | C4 | semidirect |
| 180. #1286 | D19 | semidirect |
| 275. C19 | #9180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573109 | 2 |
| #14566552 | 2 |
| #14562194 | 2 |
| #14562131 | 2 |
| #14562029 | 2 |
| #14561536 | 2 |
| C19×#1286 | 2 |
| #9180 | 19 |