Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
690 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. #14566232 | C2 | semidirect |
| 3. #14562203 | C2 | semidirect |
| 4. C2×#11926267 | C2 | semidirect |
| 5. #14561503 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1519 | C2 | semidirect |
| 11. #11926470 | C4 | semidirect |
| 13. #11926452 | C4 | semidirect |
| 62. C19×#95 | D4 | semidirect |
| 66. C19⋊#95 | D4 | semidirect |
| 203. #1519 | D19 | semidirect |
| 318. #95 | C22⋊D19 | semidirect |
| 319. C19 | #9205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569371 | 2 |
| #14566232 | 2 |
| #14562203 | 2 |
| C2×#11926267 | 2 |
| #14561503 | 2 |
| #14561502 | 2 |
| C19×#1519 | 2 |
| #9205 | 19 |