Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1092 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 1092 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14564476 | C2 | semidirect |
| 3. #14562368 | C2 | semidirect |
| 4. #14562226 | C2 | semidirect |
| 5. #14562075 | C2 | semidirect |
| 6. #14562072 | C2 | semidirect |
| 7. C19×#1965 | C2 | semidirect |
| 21. #11926568 | C22 | semidirect |
| 23. C4×#64520 | C22 | semidirect |
| 32. C19×#423 | C22 | semidirect |
| 34. C4×M16×C19 | C22 | semidirect |
| 227. D76 | #100 | semidirect |
| 237. Dic38 | #100 | semidirect |
| 244. #1965 | D19 | semidirect |
| 292. #423 | C2×D19 | semidirect |
| 296. C4×M16 | C2×D19 | semidirect |
| 375. C19 | #8469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577411 | 2 |
| #14564476 | 2 |
| #14562368 | 2 |
| #14562226 | 2 |
| #14562075 | 2 |
| #14562072 | 2 |
| C19×#1965 | 2 |
| #8469 | 19 |