Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
864 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 864 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14564464 | C2 | semidirect |
| 2. C4×#10597294 | C2 | semidirect |
| 3. #14562227 | C2 | semidirect |
| 4. #14562074 | C2 | semidirect |
| 15. Q82×C19 | C4 | semidirect |
| 18. C19×#555 | C4 | semidirect |
| 20. C19×#550 | C4 | semidirect |
| 136. Q8×C19 | #104 | semidirect |
| 195. Q82 | Dic19 | semidirect |
| 198. #555 | Dic19 | semidirect |
| 200. #550 | Dic19 | semidirect |
| 267. C19 | #8441 | semidirect |
| 330. Q8 | #10597294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564464 | 2 |
| C4×#10597294 | 2 |
| #14562227 | 2 |
| #14562074 | 2 |
| C19×#3483 | 2 |
| #8441 | 19 |