Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
760 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14563952 | C2 | semidirect |
| 3. C2×#11926277 | C2 | semidirect |
| 4. #14561478 | C2 | semidirect |
| 5. C19×#1444 | C2 | semidirect |
| 52. C19×#95 | D4 | semidirect |
| 184. #1444 | D19 | semidirect |
| 284. #95 | D76 | semidirect |
| 285. C19 | #10402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569737 | 2 |
| #14563952 | 2 |
| C2×#11926277 | 2 |
| #14561478 | 2 |
| C19×#1444 | 2 |
| #10402 | 19 |