Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 3. #14562410 | C2 | semidirect |
| 5. #14561530 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 127. #1286 | D19 | semidirect |
| 196. C19 | #10637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563642 | 2 |
| #14563624 | 2 |
| #14562410 | 2 |
| #14562027 | 2 |
| #14561530 | 2 |
| #14561493 | 2 |
| C19×#1286 | 2 |
| #10637 | 19 |