Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
400 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14562261 | C2 | semidirect |
| 5. #14561990 | C2 | semidirect |
| 6. C19⋊#1308 | C2 | semidirect |
| 7. C19×#1287 | C2 | semidirect |
| 137. #1287 | D19 | semidirect |
| 217. C19 | #9335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574827 | 2 |
| #14572705 | 2 |
| #14562338 | 2 |
| #14562261 | 2 |
| #14561990 | 2 |
| C19⋊#1308 | 2 |
| C19×#1287 | 2 |
| #9335 | 19 |