Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
362 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 85 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 | #7816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571597 | 2 |
| #14565193 | 2 |
| #14565045 | 2 |
| #14561460 | 2 |
| C19×#1271 | 2 |
| #7816 | 19 |