Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1078 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 1078 conjugacy classes of subgroups — too many to draw. Only its 155 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. #19149000 | C2 | semidirect |
| 2. #19145586 | C2 | semidirect |
| 3. #19133899 | C2 | semidirect |
| 4. #19133883 | C2 | semidirect |
| 5. #19133230 | C2 | semidirect |
| 6. #19133205 | C2 | semidirect |
| 7. C43×#3150 | C2 | semidirect |
| 16. #14583286 | C22 | semidirect |
| 17. #14583261 | C22 | semidirect |
| 21. #14582956 | C22 | semidirect |
| 22. #14582639 | C22 | semidirect |
| 23. #14582638 | C22 | semidirect |
| 26. C43×#532 | C22 | semidirect |
| 28. C43×#497 | C22 | semidirect |
| 30. C43×#496 | C22 | semidirect |
| 31. C2×#97×C43 | C22 | semidirect |
| 187. #3150 | D43 | semidirect |
| 208. #532 | C2×D43 | semidirect |
| 210. #497 | C2×D43 | semidirect |
| 213. #496 | C2×D43 | semidirect |
| 219. C2×#97 | C2×D43 | semidirect |
| 222. C43 | #19052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149000 | 2 |
| #19145586 | 2 |
| #19133899 | 2 |
| #19133883 | 2 |
| #19133230 | 2 |
| #19133205 | 2 |
| C43×#3150 | 2 |
| #19052 | 43 |