Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
470 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564579 | C2 | semidirect |
| 5. #14562323 | C2 | semidirect |
| 6. #14561537 | C2 | semidirect |
| 7. C19×#1565 | C2 | semidirect |
| 92. M16×C19 | SD16 | semidirect |
| 167. #1565 | D19 | semidirect |
| 259. C19 | #10504 | semidirect |
| 287. M16 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574578 | 2 |
| #14564579 | 2 |
| #14564561 | 2 |
| #14564475 | 2 |
| #14562323 | 2 |
| #14561537 | 2 |
| C19×#1565 | 2 |
| #10504 | 19 |