Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
472 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14563722 | C2 | semidirect |
| 4. #14563713 | C2 | semidirect |
| 6. #14561542 | C2 | semidirect |
| 7. C19×#1293 | C2 | semidirect |
| 10. #11926880 | C4 | semidirect |
| 12. #11926863 | C4 | semidirect |
| 189. #1293 | D19 | semidirect |
| 296. C19 | #9522 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573560 | 2 |
| #14572680 | 2 |
| #14563722 | 2 |
| #14563713 | 2 |
| #14562179 | 2 |
| #14561542 | 2 |
| C19×#1293 | 2 |
| #9522 | 19 |