Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
618 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
| 3. #14562202 | C2 | semidirect |
| 4. #14561513 | C2 | semidirect |
| 5. C19×#1799 | C2 | semidirect |
| 12. #11926474 | C4 | semidirect |
| 13. #11926469 | C4 | semidirect |
| 14. #11926461 | C4 | semidirect |
| 15. #11926453 | C4 | semidirect |
| 61. C22⋊(C19⋊C8) | D4 | semidirect |
| 175. #1799 | D19 | 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 |
| #14568591 | 2 |
| #14562202 | 2 |
| #14561513 | 2 |
| C19×#1799 | 2 |
| #9386 | 19 |