Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
380 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 9. #11926268 | C4 | semidirect |
| 10. C23×C8×C19 | C4 | semidirect |
| 13. C2×C19×C22⋊C8 | C4 | semidirect |
| 33. #10597291 | C8 | semidirect |
| 144. C23×C8 | Dic19 | semidirect |
| 149. C2×C22⋊C8 | Dic19 | semidirect |
| 186. C19 | #7204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10597291 | 2 |
| #14561956 | 2 |
| C19×#1869 | 2 |
| #7204 | 19 |