Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #14572080 | C2 | semidirect |
| 3. #14562163 | C2 | semidirect |
| 4. #14561487 | C2 | semidirect |
| 5. C19×#1782 | C2 | semidirect |
| 7. C2×#10597386 | C4 | semidirect |
| 8. C2×#10597393 | C4 | semidirect |
| 15. #11926451 | C4 | semidirect |
| 16. #11926447 | C4 | semidirect |
| 68. C22⋊(C19⋊C8) | D4 | semidirect |
| 204. #1782 | D19 | semidirect |
| 315. C19 | #9445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572080 | 2 |
| #14567250 | 2 |
| #14562163 | 2 |
| #14561487 | 2 |
| C19×#1782 | 2 |
| #9445 | 19 |