Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14569296 | C2 | semidirect |
| 5. #14561544 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1284 | C2 | semidirect |
| 35. C22×D76 | Q8 | semidirect |
| 38. C22×Dic38 | Q8 | semidirect |
| 215. #1284 | D19 | semidirect |
| 319. C19 | #10386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569296 | 2 |
| #14563580 | 2 |
| #14563578 | 2 |
| #14563552 | 2 |
| #14561544 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #10386 | 19 |