Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
514 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14572672 | C2 | semidirect |
| 3. #14562234 | C2 | semidirect |
| 4. #14562077 | C2 | semidirect |
| 5. #14561988 | C2 | semidirect |
| 6. #14561485 | C2 | semidirect |
| 7. C19×#1290 | C2 | semidirect |
| 196. #1290 | D19 | semidirect |
| 309. C19 | #9243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926760 | 2 |
| #14572672 | 2 |
| #14562234 | 2 |
| #14562077 | 2 |
| #14561988 | 2 |
| #14561485 | 2 |
| C19×#1290 | 2 |
| #9243 | 19 |