Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
386 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. #14563788 | C2 | semidirect |
| 2. #14562335 | C2 | semidirect |
| 4. #14562147 | C2 | semidirect |
| 6. #14561505 | C2 | semidirect |
| 221. C19 | #10514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563788 | 2 |
| #14562335 | 2 |
| #14562330 | 2 |
| #14562147 | 2 |
| #14562143 | 2 |
| #14561505 | 2 |
| C19×#3246 | 2 |
| #10514 | 19 |