Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1088 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14563545 | C2 | semidirect |
| 3. C2×#11926277 | C2 | semidirect |
| 4. #14561514 | C2 | semidirect |
| 5. C2×C4×C22⋊C4×C19 | C2 | semidirect |
| 6. C2×#10597376 | C4 | semidirect |
| 13. #11926404 | C4 | semidirect |
| 49. C19×#95 | D4 | semidirect |
| 165. C2×C4×C22⋊C4 | D19 | semidirect |
| 259. #95 | C22⋊D19 | semidirect |
| 260. C19 | #9150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571917 | 2 |
| #14563545 | 2 |
| C2×#11926277 | 2 |
| #14561514 | 2 |
| C2×C4×C22⋊C4×C19 | 2 |
| #9150 | 19 |