Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
550 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14563662 | C2 | semidirect |
| 4. #14561503 | C2 | semidirect |
| 5. C19×#1289 | C2 | semidirect |
| 7. C22×C8×D19 | C4 | semidirect |
| 12. C2×Dic19⋊C8 | C4 | semidirect |
| 14. C2×(C2×D19)⋊C8 | C4 | semidirect |
| 15. C2×C8×Dic19 | C4 | semidirect |
| 112. C22×D19 | #107 | semidirect |
| 136. C2×Dic19 | #107 | semidirect |
| 144. C19⋊C8 | #99 | semidirect |
| 149. #1289 | D19 | semidirect |
| 231. C19 | #8609 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C22⋊D19)⋊C8 | 2 |
| #14563662 | 2 |
| #14563620 | 2 |
| #14561503 | 2 |
| C19×#1289 | 2 |
| #8609 | 19 |