Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 492 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. #14574642 | C2 | semidirect |
| 3. #14562108 | C2 | semidirect |
| 4. #14562053 | C2 | semidirect |
| 5. #14561987 | C2 | semidirect |
| 6. #14561507 | C2 | semidirect |
| 7. C19×#3140 | C2 | semidirect |
| 171. #3140 | D19 | semidirect |
| 277. C19 | #10124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574642 | 2 |
| #14574622 | 2 |
| #14562108 | 2 |
| #14562053 | 2 |
| #14561987 | 2 |
| #14561507 | 2 |
| C19×#3140 | 2 |
| #10124 | 19 |