Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
510 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14574648 | C2 | semidirect |
| 3. #14573644 | C2 | semidirect |
| 4. #14562272 | C2 | semidirect |
| 5. #14562105 | C2 | semidirect |
| 6. #14561975 | C2 | semidirect |
| 7. C19×#1287 | C2 | semidirect |
| 177. #1287 | D19 | semidirect |
| 280. C19 | #10039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574648 | 2 |
| #14573727 | 2 |
| #14573644 | 2 |
| #14562272 | 2 |
| #14562105 | 2 |
| #14561975 | 2 |
| C19×#1287 | 2 |
| #10039 | 19 |