Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
374 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 225. C19 | #9286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574796 | 2 |
| #14572732 | 2 |
| #14562251 | 2 |
| #14562107 | 2 |
| #14561465 | 2 |
| C19×#1287 | 2 |
| #9286 | 19 |