Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
430 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 262. C19 | #10217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575026 | 2 |
| #14574845 | 2 |
| #14564617 | 2 |
| #14562148 | 2 |
| #14562147 | 2 |
| #14561545 | 2 |
| C19×#3237 | 2 |
| #10217 | 19 |