Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 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. #19143584 | C2 | semidirect |
| 3. #19133206 | C2 | semidirect |
| 4. #19133131 | C2 | semidirect |
| 5. #19132495 | C2 | semidirect |
| 6. #19132476 | C2 | semidirect |
| 7. C43×#1517 | C2 | semidirect |
| 9. #14583305 | C4 | semidirect |
| 10. #14583286 | C4 | semidirect |
| 11. #14583263 | C4 | semidirect |
| 12. #14583261 | C4 | semidirect |
| 205. #1517 | D43 | semidirect |
| 243. C43 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145287 | 2 |
| #19143584 | 2 |
| #19133206 | 2 |
| #19133131 | 2 |
| #19132495 | 2 |
| #19132476 | 2 |
| C43×#1517 | 2 |
| #9432 | 43 |