Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
440 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 440 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. #14562307 | C2 | semidirect |
| 5. #14561526 | C2 | semidirect |
| 6. #14561524 | C2 | semidirect |
| 7. C19×#1548 | C2 | semidirect |
| 150. #1548 | D19 | semidirect |
| 238. C19 | #9433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574031 | 2 |
| #14572701 | 2 |
| #14562368 | 2 |
| #14562307 | 2 |
| #14561526 | 2 |
| #14561524 | 2 |
| C19×#1548 | 2 |
| #9433 | 19 |