Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14564576 | C2 | semidirect |
| 4. #14562038 | C2 | semidirect |
| 6. #14561465 | C2 | semidirect |
| 7. C19×#3104 | C2 | semidirect |
| 170. #3104 | D19 | semidirect |
| 274. C19 | #10035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573983 | 2 |
| #14573666 | 2 |
| #14564576 | 2 |
| #14562038 | 2 |
| #14562035 | 2 |
| #14561465 | 2 |
| C19×#3104 | 2 |
| #10035 | 19 |