Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
474 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 474 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 |
|---|---|---|
| 16. #11926451 | C4 | semidirect |
| 17. #11926451 | C4 | semidirect |
| 20. #11926413 | C4 | semidirect |
| 21. #11926409 | C4 | semidirect |
| 293. C19 | #9444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572270 | 2 |
| #14568089 | 2 |
| #14563710 | 2 |
| #14562168 | 2 |
| #14561489 | 2 |
| #14561487 | 2 |
| C19×#1511 | 2 |
| #9444 | 19 |