Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 2. #14572725 | C2 | semidirect |
| 4. #14562081 | C2 | semidirect |
| 6. #14561485 | C2 | semidirect |
| 7. C19×#1290 | C2 | semidirect |
| 187. #1290 | D19 | semidirect |
| 292. C19 | #9244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926767 | 2 |
| #14572725 | 2 |
| #14562234 | 2 |
| #14562081 | 2 |
| #14561988 | 2 |
| #14561485 | 2 |
| C19×#1290 | 2 |
| #9244 | 19 |