Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
712 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 712 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 |
|---|---|---|
| 3. #14562169 | C2 | semidirect |
| 4. #14561489 | C2 | semidirect |
| 6. C2×#10597390 | C4 | semidirect |
| 7. C2×#10597382 | C4 | semidirect |
| 13. #11926451 | C4 | semidirect |
| 14. #11926447 | C4 | semidirect |
| 295. C19 | #9443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14567259 | 2 |
| #14563553 | 2 |
| #14562169 | 2 |
| #14561489 | 2 |
| C19×#2879 | 2 |
| #9443 | 19 |