Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
520 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 520 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 |
|---|---|---|
| 2. #14566798 | C2 | semidirect |
| 5. #14562156 | C2 | semidirect |
| 6. #14561489 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 10. #11926880 | C4 | semidirect |
| 13. #11926697 | C4 | semidirect |
| 196. #1305 | D19 | semidirect |
| 307. C19 | #9344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574442 | 2 |
| #14566798 | 2 |
| #14564470 | 2 |
| #14562165 | 2 |
| #14562156 | 2 |
| #14561489 | 2 |
| C19×#1305 | 2 |
| #9344 | 19 |