Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
400 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14561927 | C2 | semidirect |
| 3. #14561918 | C2 | semidirect |
| 4. #14561480 | C2 | semidirect |
| 153. C19 | #8158 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14561949 | 2 |
| #14561927 | 2 |
| #14561918 | 2 |
| #14561480 | 2 |
| C2×C19×#433 | 2 |
| #8158 | 19 |