Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
626 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14572033 | C2 | semidirect |
| 4. #14562321 | C2 | semidirect |
| 5. #14562317 | C2 | semidirect |
| 6. #14561468 | C2 | semidirect |
| 100. C42×C19 | SD16 | semidirect |
| 245. C19 | #10283 | semidirect |
| 287. C42 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574760 | 2 |
| #14574557 | 2 |
| #14572033 | 2 |
| #14562321 | 2 |
| #14562317 | 2 |
| #14561468 | 2 |
| C19×#1962 | 2 |
| #10283 | 19 |