Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
536 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14563671 | C2 | semidirect |
| 3. #14563413 | C2 | semidirect |
| 4. #14562150 | C2 | semidirect |
| 5. #14561996 | C2 | semidirect |
| 6. #14561995 | C2 | semidirect |
| 7. C19×#1507 | C2 | semidirect |
| 8. C22×#64525 | C4 | semidirect |
| 16. C2×#10597264 | C4 | semidirect |
| 17. C2×#10597289 | C4 | semidirect |
| 18. C2×#10597266 | C4 | semidirect |
| 194. #1507 | D19 | semidirect |
| 302. C19 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926778 | 2 |
| #14563671 | 2 |
| #14563413 | 2 |
| #14562150 | 2 |
| #14561996 | 2 |
| #14561995 | 2 |
| C19×#1507 | 2 |
| #9818 | 19 |