Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
534 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564619 | C2 | semidirect |
| 3. #14562167 | C2 | semidirect |
| 5. #14561541 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 10. #11926855 | C4 | semidirect |
| 13. #11926682 | C4 | semidirect |
| 35. C22×Dic38 | C2×C4 | semidirect |
| 54. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 74. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 306. C19 | #9341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574441 | 2 |
| #14564619 | 2 |
| #14562167 | 2 |
| #14562151 | 2 |
| #14561541 | 2 |
| #14561487 | 2 |
| C19×#2377 | 2 |
| #9341 | 19 |