Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1160 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 1160 conjugacy classes of subgroups — too many to draw. Only its 117 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×#11926678 | C2 | semidirect |
| 2. #14569739 | C2 | semidirect |
| 3. C2×#11926279 | C2 | semidirect |
| 4. C2×#11926278 | C2 | semidirect |
| 5. #14561876 | C2 | semidirect |
| 6. #14561477 | C2 | semidirect |
| 7. C2×C19×#447 | C2 | semidirect |
| 40. C22×D4×C19 | D4 | semidirect |
| 75. C19×C22⋊C8 | D4 | semidirect |
| 82. C22⋊(C19⋊C8) | D4 | semidirect |
| 139. C22×Dic19 | D8 | semidirect |
| 245. C2×#447 | D19 | semidirect |
| 340. C22×D4 | C22⋊D19 | semidirect |
| 375. C22⋊C8 | C22⋊D19 | semidirect |
| 380. C19 | #9962 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926678 | 2 |
| #14569739 | 2 |
| C2×#11926279 | 2 |
| C2×#11926278 | 2 |
| #14561876 | 2 |
| #14561477 | 2 |
| C2×C19×#447 | 2 |
| #9962 | 19 |