Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
936 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 936 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. C2×#14583649 | C2 | semidirect |
| 2. #19145787 | C2 | semidirect |
| 4. #19133907 | C2 | semidirect |
| 5. #19133894 | C2 | semidirect |
| 6. #19133198 | C2 | semidirect |
| 7. C43×#1533 | C2 | semidirect |
| 19. #14583308 | C22 | semidirect |
| 23. #14583264 | C22 | semidirect |
| 28. #14582640 | C22 | semidirect |
| 187. #1533 | D43 | semidirect |
| 218. C43 | #18994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583649 | 2 |
| #19145787 | 2 |
| #19145059 | 2 |
| #19133907 | 2 |
| #19133894 | 2 |
| #19133198 | 2 |
| C43×#1533 | 2 |
| #18994 | 43 |