Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
414 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14564567 | C2 | semidirect |
| 3. #14562421 | C2 | semidirect |
| 4. #14562331 | C2 | semidirect |
| 5. #14562129 | C2 | semidirect |
| 6. #14561988 | C2 | semidirect |
| 7. C19×#1285 | C2 | semidirect |
| 170. #1285 | D19 | semidirect |
| 265. C19 | #10508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574624 | 2 |
| #14564567 | 2 |
| #14562421 | 2 |
| #14562331 | 2 |
| #14562129 | 2 |
| #14561988 | 2 |
| C19×#1285 | 2 |
| #10508 | 19 |