Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
766 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 766 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 |
|---|---|---|
| 2. #14564434 | C2 | semidirect |
| 3. #14562336 | C2 | semidirect |
| 4. #14562331 | C2 | semidirect |
| 5. #14562251 | C2 | semidirect |
| 6. #14562247 | C2 | semidirect |
| 7. C19×#1466 | C2 | semidirect |
| 200. #1466 | D19 | semidirect |
| 313. C19 | #8458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577487 | 2 |
| #14564434 | 2 |
| #14562336 | 2 |
| #14562331 | 2 |
| #14562251 | 2 |
| #14562247 | 2 |
| C19×#1466 | 2 |
| #8458 | 19 |