Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
356 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19134483 | C2 | semidirect |
| 4. #19132607 | C2 | semidirect |
| 7. C43×#1348 | C2 | semidirect |
| 9. #14583300 | C4 | semidirect |
| 10. #14583284 | C4 | semidirect |
| 14. Q16×Dic43 | C4 | semidirect |
| 16. #14582981 | C4 | semidirect |
| 160. #1348 | D43 | semidirect |
| 188. C43 | #11741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145166 | 2 |
| #19136391 | 2 |
| #19134483 | 2 |
| #19132607 | 2 |
| #19132605 | 2 |
| #19132603 | 2 |
| C43×#1348 | 2 |
| #11741 | 43 |