Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
682 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14565162 | C2 | semidirect |
| 3. #14565040 | C2 | semidirect |
| 4. #14565038 | C2 | semidirect |
| 5. #14561455 | C2 | semidirect |
| 6. #14561455 | C2 | semidirect |
| 7. C19×#1270 | C2 | semidirect |
| 20. #11926414 | C22 | semidirect |
| 23. #11926299 | C22 | semidirect |
| 25. C19×#336 | C22 | semidirect |
| 26. C19×#336 | C22 | semidirect |
| 208. #1270 | D19 | semidirect |
| 265. #336 | C2×D19 | semidirect |
| 266. #336 | C2×D19 | semidirect |
| 314. C19 | #7786 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569970 | 2 |
| #14565162 | 2 |
| #14565040 | 2 |
| #14565038 | 2 |
| #14561455 | 2 |
| C19×#1270 | 2 |
| #7786 | 19 |