Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
568 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 3. #14564621 | C2 | semidirect |
| 4. #14563734 | C2 | semidirect |
| 6. #14561542 | C2 | semidirect |
| 7. C19×#3095 | C2 | semidirect |
| 188. #3095 | D19 | semidirect |
| 305. C19 | #9936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574437 | 2 |
| #14569424 | 2 |
| #14564621 | 2 |
| #14563734 | 2 |
| #14562152 | 2 |
| #14561542 | 2 |
| C19×#3095 | 2 |
| #9936 | 19 |