Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #14566821 | C2 | semidirect |
| 3. C2×#11926286 | C2 | semidirect |
| 4. #14561517 | C2 | semidirect |
| 17. C19×#490 | C4 | semidirect |
| 138. #490 | Dic19 | semidirect |
| 183. C19 | #9002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566821 | 2 |
| #14564460 | 2 |
| C2×#11926286 | 2 |
| #14561517 | 2 |
| C2×C19×#490 | 2 |
| #9002 | 19 |