Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
428 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14564480 | C2 | semidirect |
| 4. #14562385 | C2 | semidirect |
| 6. #14561538 | C2 | semidirect |
| 7. C19×#1988 | C2 | semidirect |
| 165. #1988 | D19 | semidirect |
| 259. C19 | #10503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574756 | 2 |
| #14564553 | 2 |
| #14564480 | 2 |
| #14562385 | 2 |
| #14562310 | 2 |
| #14561538 | 2 |
| C19×#1988 | 2 |
| #10503 | 19 |