Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
820 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19135428 | C2 | semidirect |
| 2. #19133317 | C2 | semidirect |
| 3. #19133230 | C2 | semidirect |
| 4. #19133103 | C2 | semidirect |
| 6. #14582956 | C22 | semidirect |
| 7. #14582923 | C22 | semidirect |
| 9. #14582745 | C22 | semidirect |
| 16. C43×#555 | C4 | semidirect |
| 18. D42×C43 | C4 | semidirect |
| 162. #555 | Dic43 | semidirect |
| 164. D42 | Dic43 | semidirect |
| 177. C43 | #8491 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135428 | 2 |
| #19133317 | 2 |
| #19133230 | 2 |
| #19133103 | 2 |
| C43×#3549 | 2 |
| #8491 | 43 |