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 |
|---|---|---|
| 3. #14561459 | C2 | semidirect |
| 196. C19 | #7708 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571987 | 2 |
| #14563397 | 2 |
| #14561459 | 2 |
| C19×#1817 | 2 |
| #7708 | 19 |