Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
436 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14564576 | C2 | semidirect |
| 5. #14561533 | C2 | semidirect |
| 6. #14561486 | C2 | semidirect |
| 7. C19×#1491 | C2 | semidirect |
| 185. #1491 | D19 | semidirect |
| 294. C19 | #9051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573715 | 2 |
| #14572776 | 2 |
| #14564576 | 2 |
| #14562224 | 2 |
| #14561533 | 2 |
| #14561486 | 2 |
| C19×#1491 | 2 |
| #9051 | 19 |