Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
348 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14563775 | C2 | semidirect |
| 2. #14562365 | C2 | semidirect |
| 4. #14562250 | C2 | semidirect |
| 6. #14561546 | C2 | semidirect |
| 216. C19 | #10527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563775 | 2 |
| #14562365 | 2 |
| #14562357 | 2 |
| #14562250 | 2 |
| #14562246 | 2 |
| #14561546 | 2 |
| C19×#3254 | 2 |
| #10527 | 19 |