Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
510 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 510 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. #14563411 | C2 | semidirect |
| 3. #14562156 | C2 | semidirect |
| 5. #14562000 | C2 | semidirect |
| 7. C19×#1810 | C2 | semidirect |
| 8. C22×#64516 | C4 | semidirect |
| 15. C2×#10597274 | C4 | semidirect |
| 16. C2×#10597273 | C4 | semidirect |
| 17. C2×#10597278 | C4 | semidirect |
| 186. #1810 | D19 | semidirect |
| 293. C19 | #9816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926773 | 2 |
| #14563411 | 2 |
| #14562156 | 2 |
| #14562152 | 2 |
| #14562000 | 2 |
| #14561996 | 2 |
| C19×#1810 | 2 |
| #9816 | 19 |