Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
530 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 155 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. #14563807 | C2 | semidirect |
| 3. #14562306 | C2 | semidirect |
| 5. C19×#1450 | C2 | semidirect |
| 105. #1450 | D19 | semidirect |
| 162. C19 | #9768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926917 | 2 |
| #14563807 | 2 |
| #14562306 | 2 |
| #14562302 | 2 |
| C19×#1450 | 2 |
| #9768 | 19 |