Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
662 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14566806 | C2 | semidirect |
| 3. #14564460 | C2 | semidirect |
| 4. C2×#11926283 | C2 | semidirect |
| 5. #14561517 | C2 | semidirect |
| 6. #14561516 | C2 | semidirect |
| 7. C19×#1961 | C2 | semidirect |
| 12. #11926931 | C4 | semidirect |
| 40. C19×#127 | C2×C4 | semidirect |
| 80. #10597260 | C2×C4 | semidirect |
| 214. #1961 | D19 | semidirect |
| 299. #127 | C4×D19 | semidirect |
| 332. C19 | #9001 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926931 | 2 |
| #14566806 | 2 |
| #14564460 | 2 |
| C2×#11926283 | 2 |
| #14561517 | 2 |
| #14561516 | 2 |
| C19×#1961 | 2 |
| #9001 | 19 |