Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
394 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 394 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. #19136391 | C2 | semidirect |
| 3. #19134487 | C2 | semidirect |
| 4. #19132605 | C2 | semidirect |
| 5. #19132604 | C2 | semidirect |
| 6. #19132603 | C2 | semidirect |
| 7. C43×#1347 | C2 | semidirect |
| 9. #14583303 | C4 | semidirect |
| 10. #14583274 | C4 | semidirect |
| 14. D8×Dic43 | C4 | semidirect |
| 15. #14582981 | C4 | semidirect |
| 172. #1347 | D43 | semidirect |
| 199. C43 | #11742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145169 | 2 |
| #19136391 | 2 |
| #19134487 | 2 |
| #19132605 | 2 |
| #19132604 | 2 |
| #19132603 | 2 |
| C43×#1347 | 2 |
| #11742 | 43 |