Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
760 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 760 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. #19135580 | C2 | semidirect |
| 4. #19133116 | C2 | semidirect |
| 5. #19132502 | C2 | semidirect |
| 6. #19132481 | C2 | semidirect |
| 8. C2×#13063355 | C4 | semidirect |
| 14. #14582900 | C4 | semidirect |
| 29. C22×Dic86 | C2×C4 | semidirect |
| 34. C2×#10621877 | C2×C4 | semidirect |
| 41. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 255. C43 | #9361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143855 | 2 |
| #19137425 | 2 |
| #19135580 | 2 |
| #19133116 | 2 |
| #19132502 | 2 |
| #19132481 | 2 |
| C43×#1789 | 2 |
| #9361 | 43 |