Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
560 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. #14573674 | C2 | semidirect |
| 3. #14564616 | C2 | semidirect |
| 4. #14562064 | C2 | semidirect |
| 6. #14561464 | C2 | semidirect |
| 287. C19 | #10016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573674 | 2 |
| #14573643 | 2 |
| #14564616 | 2 |
| #14562064 | 2 |
| #14562060 | 2 |
| #14561464 | 2 |
| C19×#2398 | 2 |
| #10016 | 19 |