Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
360 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14564593 | C2 | semidirect |
| 2. #14562421 | C2 | semidirect |
| 5. #14561991 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 239. C19 | #10509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564593 | 2 |
| #14562421 | 2 |
| #14562330 | 2 |
| #14562130 | 2 |
| #14561991 | 2 |
| #14561492 | 2 |
| C19×#3234 | 2 |
| #10509 | 19 |