Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
610 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14568113 | C2 | semidirect |
| 5. #14563726 | C2 | semidirect |
| 6. #14562208 | C2 | semidirect |
| 7. C19×#1282 | C2 | semidirect |
| 109. C22⋊C4×C19 | SD16 | semidirect |
| 182. #1282 | D19 | semidirect |
| 286. C19 | #9951 | semidirect |
| 338. C22⋊C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| C2×#11926863 | 2 |
| #14568113 | 2 |
| #14564471 | 2 |
| #14563726 | 2 |
| #14562208 | 2 |
| C19×#1282 | 2 |
| #9951 | 19 |