Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
812 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 1. #14572080 | C2 | semidirect |
| 2. #14563563 | C2 | semidirect |
| 3. #14561962 | C2 | semidirect |
| 4. #14561543 | C2 | semidirect |
| 68. C22⋊(C19⋊C8) | D4 | semidirect |
| 319. C19 | #9511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572080 | 2 |
| #14563563 | 2 |
| #14561962 | 2 |
| #14561543 | 2 |
| C19×#2404 | 2 |
| #9511 | 19 |