Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 3. #19133210 | C2 | semidirect |
| 5. #19132495 | C2 | semidirect |
| 6. #19132476 | C2 | semidirect |
| 7. C43×#1518 | C2 | semidirect |
| 9. #14583305 | C4 | semidirect |
| 10. #14583291 | C4 | semidirect |
| 11. #14583267 | C4 | semidirect |
| 12. #14583261 | C4 | semidirect |
| 196. #1518 | D43 | semidirect |
| 233. C43 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145298 | 2 |
| #19143584 | 2 |
| #19133210 | 2 |
| #19133131 | 2 |
| #19132495 | 2 |
| #19132476 | 2 |
| C43×#1518 | 2 |
| #9431 | 43 |