Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
958 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 958 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14565988 | C2 | semidirect |
| 3. #14563578 | C2 | semidirect |
| 4. #14561489 | C2 | semidirect |
| 5. C19×#1462 | C2 | semidirect |
| 10. #11926456 | C4 | semidirect |
| 11. #11926453 | C4 | semidirect |
| 30. C22×D76 | C2×C4 | semidirect |
| 32. C22×Dic38 | C2×C4 | semidirect |
| 46. C2×C4×Dic19 | D4 | semidirect |
| 53. C19⋊#95 | C2×C4 | semidirect |
| 123. C23×C19 | #104 | semidirect |
| 164. #1462 | D19 | semidirect |
| 253. C19 | #9475 | semidirect |
| 326. C23 | #10597282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566954 | 2 |
| #14565988 | 2 |
| #14563578 | 2 |
| #14561489 | 2 |
| C19×#1462 | 2 |
| #9475 | 19 |