Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
500 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14573753 | C2 | semidirect |
| 3. #14573667 | C2 | semidirect |
| 4. #14562269 | C2 | semidirect |
| 5. #14561978 | C2 | semidirect |
| 6. #14561497 | C2 | semidirect |
| 7. C19×#1496 | C2 | semidirect |
| 175. #1496 | D19 | semidirect |
| 278. C19 | #10040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574630 | 2 |
| #14573753 | 2 |
| #14573667 | 2 |
| #14562269 | 2 |
| #14561978 | 2 |
| #14561497 | 2 |
| C19×#1496 | 2 |
| #10040 | 19 |