Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
982 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 982 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14569451 | C2 | semidirect |
| 4. C2×#11926282 | C2 | semidirect |
| 5. C2×#11926269 | C2 | semidirect |
| 6. #14561513 | C2 | semidirect |
| 130. C22×Dic19 | SD16 | semidirect |
| 359. C19 | #9923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926695 | 2 |
| #14569451 | 2 |
| C2×#11926458 | 2 |
| C2×#11926282 | 2 |
| C2×#11926269 | 2 |
| #14561513 | 2 |
| C19×#1786 | 2 |
| #9923 | 19 |