Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
406 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #19136393 | C2 | semidirect |
| 3. #19133355 | C2 | semidirect |
| 4. #19132639 | C2 | semidirect |
| 5. #19132638 | C2 | semidirect |
| 6. #19132637 | C2 | semidirect |
| 7. C43×#1360 | C2 | semidirect |
| 19. C4⋊(C43⋊C16) | C22 | semidirect |
| 23. #14582650 | C22 | semidirect |
| 25. C43×C4⋊C16 | C22 | semidirect |
| 26. C43×#334 | C22 | semidirect |
| 177. #1360 | D43 | semidirect |
| 197. C4⋊C16 | C2×D43 | semidirect |
| 202. #334 | C2×D43 | semidirect |
| 203. C43 | #11957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #495×D43 | 2 |
| #19136393 | 2 |
| #19133355 | 2 |
| #19132639 | 2 |
| #19132638 | 2 |
| #19132637 | 2 |
| C43×#1360 | 2 |
| #11957 | 43 |