Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19135424 | C2 | semidirect |
| 3. #19135422 | C2 | semidirect |
| 4. #19134340 | C2 | semidirect |
| 5. #19133350 | C2 | semidirect |
| 6. #19133047 | C2 | semidirect |
| 7. C43×#1492 | C2 | semidirect |
| 9. #14583302 | C4 | semidirect |
| 10. #14583275 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 12. #14583245 | C4 | semidirect |
| 176. #1492 | D43 | semidirect |
| 202. C43 | #9852 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145170 | 2 |
| #19135424 | 2 |
| #19135422 | 2 |
| #19134340 | 2 |
| #19133350 | 2 |
| #19133047 | 2 |
| C43×#1492 | 2 |
| #9852 | 43 |