Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
4778 conjugacy classes of subgroups; only the 807 normal subgroups are shown.
This group has 4778 conjugacy classes of subgroups — too many to draw. Only its 807 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. #19148250 | C2 | semidirect |
| 2. #19143997 | C2 | semidirect |
| 3. #19143987 | C2 | semidirect |
| 4. #19143059 | C2 | semidirect |
| 5. C43×2−1+6 | C2 | semidirect |
| 6. C22×#10621902 | C22 | semidirect |
| 9. #14583463 | C22 | semidirect |
| 10. #14583406 | C22 | semidirect |
| 11. #14583377 | C22 | semidirect |
| 12. #14583089 | C22 | semidirect |
| 13. #14583086 | C22 | semidirect |
| 14. #14582873 | C22 | semidirect |
| 41. C2×#41×C43 | D4 | semidirect |
| 44. C22×Q8×C43 | D4 | semidirect |
| 106. 2−1+6 | D43 | semidirect |
| 128. C43 | #60402 | semidirect |
| 138. C2×#41 | C22⋊D43 | semidirect |
| 141. C22×Q8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148250 | 2 |
| #19143997 | 2 |
| #19143987 | 2 |
| #19143059 | 2 |
| C43×2−1+6 | 2 |
| #60402 | 43 |