Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
530 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14566450 | C2 | semidirect |
| 3. #14564554 | C2 | semidirect |
| 4. #14562183 | C2 | semidirect |
| 5. #14561500 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#1527 | C2 | semidirect |
| 9. #11926934 | C4 | semidirect |
| 10. #11926903 | C4 | semidirect |
| 56. #10597320 | C2×C4 | semidirect |
| 59. #10597315 | C2×C4 | semidirect |
| 78. #10597260 | C2×C4 | semidirect |
| 191. #1527 | D19 | semidirect |
| 300. C19 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574622 | 2 |
| #14566450 | 2 |
| #14564554 | 2 |
| #14562183 | 2 |
| #14561500 | 2 |
| #14561492 | 2 |
| C19×#1527 | 2 |
| #9381 | 19 |