Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
934 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14572659 | C2 | semidirect |
| 3. #14563565 | C2 | semidirect |
| 4. #14561502 | C2 | semidirect |
| 5. C19×#1799 | C2 | semidirect |
| 14. #11926461 | C4 | semidirect |
| 15. #11926453 | C4 | semidirect |
| 50. C22×C19⋊C8 | D4 | semidirect |
| 122. C23×C19 | #102 | semidirect |
| 159. C2×C4×C19 | #102 | semidirect |
| 174. #1799 | D19 | semidirect |
| 274. C19 | #9468 | semidirect |
| 350. C23 | #10597266 | semidirect |
| 381. C2×C4 | #10597266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572659 | 2 |
| #14566991 | 2 |
| #14563565 | 2 |
| #14561502 | 2 |
| C19×#1799 | 2 |
| #9468 | 19 |