Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1004 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1004 conjugacy classes of subgroups — too many to draw. Only its 163 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. #19149009 | C2 | semidirect |
| 2. #19145536 | C2 | semidirect |
| 3. #19133671 | C2 | semidirect |
| 4. #19133652 | C2 | semidirect |
| 5. #19133257 | C2 | semidirect |
| 6. #19133017 | C2 | semidirect |
| 9. #14583635 | C22 | semidirect |
| 10. #14583629 | C22 | semidirect |
| 21. #14582648 | C22 | semidirect |
| 22. #14582643 | C22 | semidirect |
| 23. #14582631 | C22 | semidirect |
| 198. C43 | #18718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149009 | 2 |
| #19145536 | 2 |
| #19133671 | 2 |
| #19133652 | 2 |
| #19133257 | 2 |
| #19133017 | 2 |
| C43×#3151 | 2 |
| #18718 | 43 |