Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
420 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #14562272 | C2 | semidirect |
| 5. #14562037 | C2 | semidirect |
| 6. #14561496 | C2 | semidirect |
| 7. C19×#1290 | C2 | semidirect |
| 147. #1290 | D19 | semidirect |
| 233. C19 | #9373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574648 | 2 |
| #14572713 | 2 |
| #14562328 | 2 |
| #14562272 | 2 |
| #14562037 | 2 |
| #14561496 | 2 |
| C19×#1290 | 2 |
| #9373 | 19 |