Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1516 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 1516 conjugacy classes of subgroups — too many to draw. Only its 171 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. #14563632 | C2 | semidirect |
| 3. C2×#11926288 | C2 | semidirect |
| 4. C2×#11926273 | C2 | semidirect |
| 5. C19×#1957 | C2 | semidirect |
| 9. #11927179 | C4 | semidirect |
| 13. C2×C4⋊(C19⋊C8) | C22 | semidirect |
| 20. C2×C4×C8×C19 | C22 | semidirect |
| 21. C19×#384 | C22 | semidirect |
| 159. D76 | #102 | semidirect |
| 167. #1957 | D19 | semidirect |
| 208. C2×C4×C8 | C2×D19 | semidirect |
| 209. #384 | C2×D19 | semidirect |
| 256. C19 | #8443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927179 | 2 |
| #14563632 | 2 |
| C2×#11926288 | 2 |
| C2×#11926273 | 2 |
| C19×#1957 | 2 |
| #8443 | 19 |