Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
686 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #14564628 | C2 | semidirect |
| 3. #14562358 | C2 | semidirect |
| 4. #14562100 | C2 | semidirect |
| 5. #14562053 | C2 | semidirect |
| 6. #14561992 | C2 | semidirect |
| 7. C19×#1529 | C2 | semidirect |
| 223. #1529 | D19 | semidirect |
| 356. C19 | #8486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578166 | 2 |
| #14564628 | 2 |
| #14562358 | 2 |
| #14562100 | 2 |
| #14562053 | 2 |
| #14561992 | 2 |
| C19×#1529 | 2 |
| #8486 | 19 |