Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1004 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1004 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19145533 | C2 | semidirect |
| 3. #19133673 | C2 | semidirect |
| 4. #19133654 | C2 | semidirect |
| 5. #19133257 | C2 | semidirect |
| 6. #19133016 | C2 | semidirect |
| 7. C43×#3550 | C2 | semidirect |
| 19. #14582648 | C22 | semidirect |
| 20. #14582643 | C22 | semidirect |
| 21. Q8⋊(C43⋊C8) | C22 | semidirect |
| 23. C43×#559 | C22 | semidirect |
| 24. Q82×C43 | C22 | semidirect |
| 163. #3550 | D43 | semidirect |
| 177. #559 | C2×D43 | semidirect |
| 178. Q82 | C2×D43 | semidirect |
| 198. C43 | #18718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145533 | 2 |
| #19145048 | 2 |
| #19133673 | 2 |
| #19133654 | 2 |
| #19133257 | 2 |
| #19133016 | 2 |
| C43×#3550 | 2 |
| #18718 | 43 |