Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19143670 | C2 | semidirect |
| 3. #19133104 | C2 | semidirect |
| 4. #19133103 | C2 | semidirect |
| 5. #19132456 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1496 | C2 | semidirect |
| 9. #14583275 | C4 | semidirect |
| 10. #14583273 | C4 | semidirect |
| 11. #14583249 | C4 | semidirect |
| 12. #14583245 | C4 | semidirect |
| 177. #1496 | D43 | semidirect |
| 207. C43 | #9281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145528 | 2 |
| #19143670 | 2 |
| #19133104 | 2 |
| #19133103 | 2 |
| #19132456 | 2 |
| #19132423 | 2 |
| C43×#1496 | 2 |
| #9281 | 43 |