Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
728 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14564613 | C2 | semidirect |
| 3. #14564611 | C2 | semidirect |
| 5. #14562372 | C2 | semidirect |
| 7. C19×#1561 | C2 | semidirect |
| 8. #11927298 | C4 | semidirect |
| 204. #1561 | D19 | semidirect |
| 317. C19 | #8531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578046 | 2 |
| #14564613 | 2 |
| #14564611 | 2 |
| #14564462 | 2 |
| #14562372 | 2 |
| #14562368 | 2 |
| C19×#1561 | 2 |
| #8531 | 19 |