Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
936 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 1. #19145785 | C2 | semidirect |
| 3. #19133906 | C2 | semidirect |
| 4. #19133893 | C2 | semidirect |
| 5. #19133219 | C2 | semidirect |
| 6. #19133197 | C2 | semidirect |
| 7. C2×C43×#563 | C2 | semidirect |
| 11. #14583309 | C22 | semidirect |
| 15. #14583265 | C22 | semidirect |
| 21. #14582641 | C22 | semidirect |
| 182. C2×#563 | D43 | semidirect |
| 218. C43 | #18994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145785 | 2 |
| #19145059 | 2 |
| #19133906 | 2 |
| #19133893 | 2 |
| #19133219 | 2 |
| #19133197 | 2 |
| C2×C43×#563 | 2 |
| #18994 | 43 |