Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
554 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14571617 | C2 | semidirect |
| 2. #14564870 | C2 | semidirect |
| 3. #14564722 | C2 | semidirect |
| 5. #14561459 | C2 | semidirect |
| 6. #14561455 | C2 | semidirect |
| 7. C19×#1272 | C2 | semidirect |
| 195. #1272 | D19 | semidirect |
| 296. C19 | #7746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571617 | 2 |
| #14564870 | 2 |
| #14564722 | 2 |
| #14564708 | 2 |
| #14561459 | 2 |
| #14561455 | 2 |
| C19×#1272 | 2 |
| #7746 | 19 |