Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
356 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564408 | C2 | semidirect |
| 5. #14561925 | C2 | semidirect |
| 6. #14561476 | C2 | semidirect |
| 7. C19×#1303 | C2 | semidirect |
| 16. #11926289 | C4 | semidirect |
| 17. #11926289 | C4 | semidirect |
| 18. #11926287 | C4 | semidirect |
| 19. #11926287 | C4 | semidirect |
| 150. #1303 | D19 | semidirect |
| 230. C19 | #9592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564553 | 2 |
| #14564408 | 2 |
| #14562282 | 2 |
| #14562085 | 2 |
| #14561925 | 2 |
| #14561476 | 2 |
| C19×#1303 | 2 |
| #9592 | 19 |