Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
500 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14566600 | C2 | semidirect |
| 5. #14561537 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1479 | C2 | semidirect |
| 11. #11926754 | C4 | semidirect |
| 12. #11926744 | C4 | semidirect |
| 174. #1479 | D19 | semidirect |
| 269. C19 | #9182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573107 | 2 |
| #14566600 | 2 |
| #14562196 | 2 |
| #14562131 | 2 |
| #14561537 | 2 |
| #14561494 | 2 |
| C19×#1479 | 2 |
| #9182 | 19 |