Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
618 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14572664 | C2 | semidirect |
| 2. #14563623 | C2 | semidirect |
| 3. #14562203 | C2 | semidirect |
| 4. #14561514 | C2 | semidirect |
| 17. C19×#398 | C4 | semidirect |
| 18. C19×#397 | C4 | semidirect |
| 19. C19×#394 | C4 | semidirect |
| 20. C19×#392 | C4 | semidirect |
| 61. C22⋊(C19⋊C8) | D4 | semidirect |
| 220. #398 | Dic19 | semidirect |
| 221. #397 | Dic19 | semidirect |
| 222. #394 | Dic19 | semidirect |
| 223. #392 | Dic19 | semidirect |
| 279. C19 | #9386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572664 | 2 |
| #14563623 | 2 |
| #14562203 | 2 |
| #14561514 | 2 |
| C19×#2543 | 2 |
| #9386 | 19 |