Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
426 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11926940 | C4 | semidirect |
| 10. #11926894 | C4 | semidirect |
| 228. C19 | #9292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574776 | 2 |
| #14572576 | 2 |
| #14564454 | 2 |
| #14562306 | 2 |
| #14561493 | 2 |
| #14561465 | 2 |
| C19×#1518 | 2 |
| #9292 | 19 |