Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
430 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19135542 | C2 | semidirect |
| 3. #19133311 | C2 | semidirect |
| 5. #19132465 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 9. #14583294 | C4 | semidirect |
| 10. #14583269 | C4 | semidirect |
| 222. C43 | #9376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145619 | 2 |
| #19135542 | 2 |
| #19133311 | 2 |
| #19133120 | 2 |
| #19132465 | 2 |
| #19132452 | 2 |
| C43×#2992 | 2 |
| #9376 | 43 |