Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1056 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1056 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. #19145720 | C2 | semidirect |
| 2. #19145055 | C2 | semidirect |
| 3. #19133740 | C2 | semidirect |
| 4. #19133711 | C2 | semidirect |
| 5. #19133257 | C2 | semidirect |
| 6. #19133012 | C2 | semidirect |
| 9. C2×#13063325 | C22 | semidirect |
| 12. #14583278 | C22 | semidirect |
| 16. #14583189 | C22 | semidirect |
| 17. #14582952 | C22 | semidirect |
| 18. C4×#10621877 | C22 | semidirect |
| 19. #14582648 | C22 | semidirect |
| 21. D4⋊(C43⋊C8) | C22 | semidirect |
| 202. C43 | #18715 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145720 | 2 |
| #19145055 | 2 |
| #19133740 | 2 |
| #19133711 | 2 |
| #19133257 | 2 |
| #19133012 | 2 |
| C43×#3549 | 2 |
| #18715 | 43 |