Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
760 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #14564621 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561521 | C2 | semidirect |
| 7. C19×#1508 | C2 | semidirect |
| 9. C2×#10597388 | C4 | semidirect |
| 15. #11926543 | C4 | semidirect |
| 29. C22×Q8×C19 | C2×C4 | semidirect |
| 47. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 59. C2×#64520 | C2×C4 | semidirect |
| 194. #1508 | D19 | semidirect |
| 261. C22×Q8 | C4×D19 | semidirect |
| 279. C2×C4⋊C4 | C4×D19 | semidirect |
| 300. C19 | #9361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572893 | 2 |
| #14566466 | 2 |
| #14564621 | 2 |
| #14563578 | 2 |
| #14561542 | 2 |
| #14561521 | 2 |
| C19×#1508 | 2 |
| #9361 | 19 |