Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #14563660 | C2 | semidirect |
| 4. #14561542 | C2 | semidirect |
| 5. C19×#1810 | C2 | semidirect |
| 6. C2×#10597347 | C4 | semidirect |
| 13. #11926570 | C4 | semidirect |
| 14. #11926510 | C4 | semidirect |
| 16. #11926499 | C4 | semidirect |
| 156. #1810 | D19 | semidirect |
| 248. C19 | #8626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572329 | 2 |
| #14563660 | 2 |
| #14562179 | 2 |
| #14561542 | 2 |
| C19×#1810 | 2 |
| #8626 | 19 |