Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 770 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 |
|---|---|---|
| 1. #14574088 | C2 | semidirect |
| 2. #14569743 | C2 | semidirect |
| 3. #14562348 | C2 | semidirect |
| 4. #14562233 | C2 | semidirect |
| 5. #14562143 | C2 | semidirect |
| 6. #14561527 | C2 | semidirect |
| 7. C19×#3213 | C2 | semidirect |
| 40. C19×C4⋊Q8 | D4 | semidirect |
| 41. C19×#127 | D4 | semidirect |
| 66. C19×C4⋊C8 | D4 | semidirect |
| 76. #10597260 | D4 | semidirect |
| 180. #3213 | D19 | semidirect |
| 255. C4⋊Q8 | C22⋊D19 | semidirect |
| 261. #127 | C22⋊D19 | semidirect |
| 278. C4⋊C8 | C22⋊D19 | semidirect |
| 289. C19 | #10088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574088 | 2 |
| #14569743 | 2 |
| #14562348 | 2 |
| #14562233 | 2 |
| #14562143 | 2 |
| #14561527 | 2 |
| C19×#3213 | 2 |
| #10088 | 19 |