Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
2574 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 2574 conjugacy classes of subgroups — too many to draw. Only its 207 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×#11926267 | C2 | semidirect |
| 4. C19×#1779 | C2 | semidirect |
| 13. C2×C22⋊(C19⋊C8) | C22 | semidirect |
| 17. C2×C19×C22⋊C8 | C22 | semidirect |
| 25. C24×D19 | C8 | semidirect |
| 159. C22×D19 | C22⋊C8 | semidirect |
| 180. #1779 | D19 | semidirect |
| 195. C22×C19 | #323 | semidirect |
| 228. C2×C22⋊C8 | C2×D19 | semidirect |
| 273. C19 | #8298 | semidirect |
| 422. C22 | #11926267 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×(C2×D19)⋊C4 | 2 |
| #14563545 | 2 |
| C2×#11926267 | 2 |
| C19×#1779 | 2 |
| #8298 | 19 |