Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
692 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 692 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 |
|---|---|---|
| 1. C2×#11926855 | C2 | semidirect |
| 2. #14568107 | C2 | semidirect |
| 3. #14564472 | C2 | semidirect |
| 4. #14563722 | C2 | semidirect |
| 5. #14562203 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 125. C22⋊Dic19 | D8 | semidirect |
| 304. C19 | #9952 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926855 | 2 |
| #14568107 | 2 |
| #14564472 | 2 |
| #14563722 | 2 |
| #14562203 | 2 |
| #14561482 | 2 |
| C19×#3186 | 2 |
| #9952 | 19 |