Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
468 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14563770 | C2 | semidirect |
| 5. #14561517 | C2 | semidirect |
| 6. #14561516 | C2 | semidirect |
| 7. C19×#1836 | C2 | semidirect |
| 22. #11926283 | C4 | semidirect |
| 54. C19×#97 | C2×C4 | semidirect |
| 66. #10597260 | C2×C4 | semidirect |
| 168. #1836 | D19 | semidirect |
| 258. #97 | C4×D19 | semidirect |
| 265. C19 | #8914 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566806 | 2 |
| #14564449 | 2 |
| #14563770 | 2 |
| C2×#11926283 | 2 |
| #14561517 | 2 |
| #14561516 | 2 |
| C19×#1836 | 2 |
| #8914 | 19 |