Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
422 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 99 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. C4×#10597279 | C2 | semidirect |
| 3. #14562229 | C2 | semidirect |
| 5. #14562055 | C2 | semidirect |
| 6. #14561916 | C2 | semidirect |
| 250. C19 | #9723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574190 | 2 |
| C4×#10597279 | 2 |
| #14562229 | 2 |
| #14562227 | 2 |
| #14562055 | 2 |
| #14561916 | 2 |
| C19×#1484 | 2 |
| #9723 | 19 |