Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
568 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14574177 | C2 | semidirect |
| 5. #14562148 | C2 | semidirect |
| 6. #14561527 | C2 | semidirect |
| 7. C19×#1556 | C2 | semidirect |
| 164. #1556 | D19 | semidirect |
| 261. C19 | #10102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574640 | 2 |
| #14574177 | 2 |
| #14569747 | 2 |
| #14562234 | 2 |
| #14562148 | 2 |
| #14561527 | 2 |
| C19×#1556 | 2 |
| #10102 | 19 |