Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14574622 | C2 | semidirect |
| 2. #14574087 | C2 | semidirect |
| 3. #14569743 | C2 | semidirect |
| 4. #14562348 | C2 | semidirect |
| 5. #14562144 | C2 | semidirect |
| 6. #14561529 | C2 | semidirect |
| 7. C19×#1527 | C2 | semidirect |
| 62. #10597320 | D4 | semidirect |
| 65. #10597315 | D4 | semidirect |
| 69. C19×#97 | D4 | semidirect |
| 76. C4⋊(C19⋊C8) | D4 | semidirect |
| 184. #1527 | D19 | semidirect |
| 285. #97 | 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 |
|---|---|
| #14574622 | 2 |
| #14574087 | 2 |
| #14569743 | 2 |
| #14562348 | 2 |
| #14562144 | 2 |
| #14561529 | 2 |
| C19×#1527 | 2 |
| #10088 | 19 |