Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
774 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 774 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14566476 | C2 | semidirect |
| 3. #14564471 | C2 | semidirect |
| 4. #14562152 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561521 | C2 | semidirect |
| 7. C19×#1789 | C2 | semidirect |
| 8. C2×#10597395 | C4 | semidirect |
| 14. #11926545 | C4 | semidirect |
| 156. Q8×C19 | #99 | semidirect |
| 200. #1789 | D19 | semidirect |
| 312. C19 | #9368 | semidirect |
| 393. Q8 | #10597263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572887 | 2 |
| #14566476 | 2 |
| #14564471 | 2 |
| #14562152 | 2 |
| #14561542 | 2 |
| #14561521 | 2 |
| C19×#1789 | 2 |
| #9368 | 19 |