Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
446 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14565178 | C2 | semidirect |
| 3. #14565113 | C2 | semidirect |
| 5. #14561457 | C2 | semidirect |
| 7. C19×#1272 | C2 | semidirect |
| 165. #1272 | D19 | semidirect |
| 254. C19 | #7801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14570653 | 2 |
| #14565178 | 2 |
| #14565113 | 2 |
| #14565040 | 2 |
| #14561457 | 2 |
| #14561455 | 2 |
| C19×#1272 | 2 |
| #7801 | 19 |