Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
656 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14562300 | C2 | semidirect |
| 4. #14561992 | C2 | semidirect |
| 5. C19×#1537 | C2 | semidirect |
| 139. #1537 | D19 | semidirect |
| 223. C19 | #8478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577456 | 2 |
| #14562300 | 2 |
| #14562067 | 2 |
| #14561992 | 2 |
| C19×#1537 | 2 |
| #8478 | 19 |