Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
432 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 236. C19 | #9456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572719 | 2 |
| #14568851 | 2 |
| #14562352 | 2 |
| #14561978 | 2 |
| #14561492 | 2 |
| #14561490 | 2 |
| C19×#1556 | 2 |
| #9456 | 19 |