Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
566 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19145781 | C2 | semidirect |
| 2. #19139761 | C2 | semidirect |
| 3. #19135515 | C2 | semidirect |
| 4. #19133198 | C2 | semidirect |
| 5. #19133038 | C2 | semidirect |
| 6. #19132450 | C2 | semidirect |
| 249. C43 | #10005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145781 | 2 |
| #19139761 | 2 |
| #19135515 | 2 |
| #19133198 | 2 |
| #19133038 | 2 |
| #19132450 | 2 |
| C43×#3109 | 2 |
| #10005 | 43 |