Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
786 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. #14567279 | C2 | semidirect |
| 4. #14563569 | C2 | semidirect |
| 5. #14562206 | C2 | semidirect |
| 6. #14561483 | C2 | semidirect |
| 128. C22⋊C4×C19 | SD16 | semidirect |
| 311. C19 | #9949 | semidirect |
| 373. C22⋊C4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574392 | 2 |
| C2×#11926682 | 2 |
| #14567279 | 2 |
| #14563569 | 2 |
| #14562206 | 2 |
| #14561483 | 2 |
| C19×#1964 | 2 |
| #9949 | 19 |