Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
772 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 772 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14572683 | C2 | semidirect |
| 2. #14563566 | C2 | semidirect |
| 3. #14563556 | C2 | semidirect |
| 4. #14562178 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 28. C19×#450 | C4 | semidirect |
| 30. C19×#447 | C4 | semidirect |
| 277. #450 | Dic19 | semidirect |
| 279. #447 | Dic19 | semidirect |
| 362. C19 | #9520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572683 | 2 |
| #14563566 | 2 |
| #14563556 | 2 |
| #14562178 | 2 |
| #14561542 | 2 |
| #14561511 | 2 |
| C19×#3003 | 2 |
| #9520 | 19 |