Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
574 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14574756 | C2 | semidirect |
| 3. #14564456 | C2 | semidirect |
| 4. #14562196 | C2 | semidirect |
| 5. #14562195 | C2 | semidirect |
| 6. #14561479 | C2 | semidirect |
| 7. C19×#3226 | C2 | semidirect |
| 171. #3226 | D19 | semidirect |
| 275. C19 | #10225 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574756 | 2 |
| #14574080 | 2 |
| #14564456 | 2 |
| #14562196 | 2 |
| #14562195 | 2 |
| #14561479 | 2 |
| C19×#3226 | 2 |
| #10225 | 19 |