Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
560 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #14570564 | C2 | semidirect |
| 2. #14564870 | C2 | semidirect |
| 3. #14564869 | C2 | semidirect |
| 5. #14561459 | C2 | semidirect |
| 6. #14561455 | C2 | semidirect |
| 7. C19×#1271 | C2 | semidirect |
| 196. #1271 | D19 | semidirect |
| 296. C19 | #7736 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14570564 | 2 |
| #14564870 | 2 |
| #14564869 | 2 |
| #14564708 | 2 |
| #14561459 | 2 |
| #14561455 | 2 |
| C19×#1271 | 2 |
| #7736 | 19 |