Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14561543 | C2 | semidirect |
| 4. #14561488 | C2 | semidirect |
| 5. C19×#2607 | C2 | semidirect |
| 26. C22×D76 | Q8 | semidirect |
| 28. C22×Dic38 | Q8 | semidirect |
| 142. #2607 | D19 | semidirect |
| 220. C19 | #10386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563580 | 2 |
| #14563552 | 2 |
| #14561543 | 2 |
| #14561488 | 2 |
| C19×#2607 | 2 |
| #10386 | 19 |