Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
236 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 160. C19 | #10646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14562409 | 2 |
| #14562366 | 2 |
| #14562333 | 2 |
| #14562107 | 2 |
| #14561545 | 2 |
| #14561498 | 2 |
| C19×#1290 | 2 |
| #10646 | 19 |