Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
768 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 768 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #14574383 | C2 | semidirect |
| 2. #14572887 | C2 | semidirect |
| 3. #14563547 | C2 | semidirect |
| 4. #14561996 | C2 | semidirect |
| 5. #14561995 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 7. C19×#3006 | C2 | semidirect |
| 218. #3006 | D19 | semidirect |
| 341. C19 | #9974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574383 | 2 |
| #14572887 | 2 |
| #14563547 | 2 |
| #14561996 | 2 |
| #14561995 | 2 |
| #14561511 | 2 |
| C19×#3006 | 2 |
| #9974 | 19 |