Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
802 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 802 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 |
|---|---|---|
| 2. #14566466 | C2 | semidirect |
| 3. #14564471 | C2 | semidirect |
| 4. #14563580 | C2 | semidirect |
| 5. #14562150 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#1297 | C2 | semidirect |
| 9. C2×#10597354 | C4 | semidirect |
| 16. #11926546 | C4 | semidirect |
| 37. C22×D76 | C2×C4 | semidirect |
| 42. C2×M16×C19 | C2×C4 | semidirect |
| 55. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 189. D76 | #99 | semidirect |
| 204. #1297 | D19 | semidirect |
| 284. C2×M16 | C4×D19 | semidirect |
| 313. C19 | #9365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572889 | 2 |
| #14566466 | 2 |
| #14564471 | 2 |
| #14563580 | 2 |
| #14562150 | 2 |
| #14561540 | 2 |
| C19×#1297 | 2 |
| #9365 | 19 |