Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
566 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14566514 | C2 | semidirect |
| 4. #14563723 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C19×#1289 | C2 | semidirect |
| 13. C2×#10597274 | C4 | semidirect |
| 14. C2×#10597278 | C4 | semidirect |
| 186. #1289 | D19 | semidirect |
| 295. C19 | #9261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926863 | 2 |
| #14566514 | 2 |
| #14564470 | 2 |
| #14563723 | 2 |
| #14562202 | 2 |
| #14561482 | 2 |
| C19×#1289 | 2 |
| #9261 | 19 |