Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
162 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 49 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. #14561727 | C2 | semidirect |
| 3. C19×C22⋊C32 | C2 | semidirect |
| 4. C2×D304 | C4 | semidirect |
| 7. #11926370 | C4 | semidirect |
| 59. C22⋊C32 | D19 | semidirect |
| 100. C19 | #7418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14565721 | 2 |
| #14561727 | 2 |
| C19×C22⋊C32 | 2 |
| #7418 | 19 |