Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
454 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 454 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 |
|---|---|---|
| 243. C19 | #10119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575026 | 2 |
| #14574177 | 2 |
| #14564625 | 2 |
| #14562230 | 2 |
| #14562055 | 2 |
| #14561526 | 2 |
| C19×#3229 | 2 |
| #10119 | 19 |