Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
690 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14572664 | C2 | semidirect |
| 3. #14562348 | C2 | semidirect |
| 4. #14561490 | C2 | semidirect |
| 5. C19×#1466 | C2 | semidirect |
| 55. C4⋊(C19⋊C8) | D4 | semidirect |
| 153. #1466 | D19 | semidirect |
| 243. C19 | #9457 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572664 | 2 |
| #14568581 | 2 |
| #14562348 | 2 |
| #14561490 | 2 |
| C19×#1466 | 2 |
| #9457 | 19 |