Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
686 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14562154 | C2 | semidirect |
| 5. #14561998 | C2 | semidirect |
| 6. #14561512 | C2 | semidirect |
| 7. C19×#1282 | C2 | semidirect |
| 9. C22×Dic76 | C4 | semidirect |
| 10. C22×#64516 | C4 | semidirect |
| 19. C2×#10597273 | C4 | semidirect |
| 20. C2×#10597278 | C4 | semidirect |
| 238. #1282 | D19 | semidirect |
| 360. C19 | #9239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926708 | 2 |
| #14572081 | 2 |
| #14563580 | 2 |
| #14562154 | 2 |
| #14561998 | 2 |
| #14561512 | 2 |
| C19×#1282 | 2 |
| #9239 | 19 |