Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
780 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14567275 | C2 | semidirect |
| 4. #14562156 | C2 | semidirect |
| 6. #14561520 | C2 | semidirect |
| 7. C19×#1784 | C2 | semidirect |
| 195. #1784 | D19 | semidirect |
| 302. C19 | #10330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574442 | 2 |
| #14567289 | 2 |
| #14567275 | 2 |
| #14562156 | 2 |
| #14562152 | 2 |
| #14561520 | 2 |
| C19×#1784 | 2 |
| #10330 | 19 |