Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14563553 | C2 | semidirect |
| 3. #14562165 | C2 | semidirect |
| 4. #14561489 | C2 | semidirect |
| 5. C19×#2879 | C2 | semidirect |
| 6. C2×#10597386 | C4 | semidirect |
| 7. C2×#10597393 | C4 | semidirect |
| 13. #11926451 | C4 | semidirect |
| 14. #11926447 | C4 | semidirect |
| 61. C19×C22⋊C8 | D4 | semidirect |
| 202. #2879 | D19 | semidirect |
| 309. C22⋊C8 | C22⋊D19 | semidirect |
| 315. C19 | #9445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14567250 | 2 |
| #14563553 | 2 |
| #14562165 | 2 |
| #14561489 | 2 |
| C19×#2879 | 2 |
| #9445 | 19 |