Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
944 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#11926685 | C2 | semidirect |
| 3. C2×#11926279 | C2 | semidirect |
| 4. #14561905 | C2 | semidirect |
| 5. C19×#1280 | C2 | semidirect |
| 31. C22×Dic38 | D4 | semidirect |
| 46. C19×C22⋊C8 | D4 | semidirect |
| 58. C22×C4×C19 | SD16 | semidirect |
| 151. #1280 | D19 | semidirect |
| 229. C22⋊C8 | D76 | semidirect |
| 233. C19 | #9964 | semidirect |
| 269. C22×C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926685 | 2 |
| #14569737 | 2 |
| C2×#11926279 | 2 |
| #14561905 | 2 |
| C19×#1280 | 2 |
| #9964 | 19 |