Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
432 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 432 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. #14564359 | C2 | semidirect |
| 3. #14562407 | C2 | semidirect |
| 6. #14561479 | C2 | semidirect |
| 7. C19×#1303 | C2 | semidirect |
| 145. #1303 | D19 | semidirect |
| 224. C19 | #8880 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572352 | 2 |
| #14564359 | 2 |
| #14562407 | 2 |
| #14562129 | 2 |
| #14562035 | 2 |
| #14561479 | 2 |
| C19×#1303 | 2 |
| #8880 | 19 |