Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
366 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14563754 | C2 | semidirect |
| 4. #14562147 | C2 | semidirect |
| 6. #14561504 | C2 | semidirect |
| 7. C19×#1552 | C2 | semidirect |
| 136. #1552 | D19 | semidirect |
| 219. C19 | #10515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574947 | 2 |
| #14563754 | 2 |
| #14562328 | 2 |
| #14562147 | 2 |
| #14562144 | 2 |
| #14561504 | 2 |
| C19×#1552 | 2 |
| #10515 | 19 |