Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
820 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135428 | C2 | semidirect |
| 3. #19133318 | C2 | semidirect |
| 4. #19133104 | C2 | semidirect |
| 5. C43×#1536 | C2 | semidirect |
| 7. #14583615 | C4 | semidirect |
| 10. #14583534 | C4 | semidirect |
| 14. #14582923 | C22 | semidirect |
| 16. #14582745 | C22 | semidirect |
| 21. C43×#432 | C22 | semidirect |
| 153. #1536 | D43 | semidirect |
| 169. #432 | C2×D43 | semidirect |
| 177. C43 | #8491 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149000 | 2 |
| #19135428 | 2 |
| #19133318 | 2 |
| #19133104 | 2 |
| C43×#1536 | 2 |
| #8491 | 43 |