Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #19133016 | C2 | semidirect |
| 5. #19132459 | C2 | semidirect |
| 6. #19132458 | C2 | semidirect |
| 7. C43×#1515 | C2 | semidirect |
| 9. #14583305 | C4 | semidirect |
| 10. #14583305 | C4 | semidirect |
| 11. #14583261 | C4 | semidirect |
| 12. #14583261 | C4 | semidirect |
| 188. #1515 | D43 | semidirect |
| 224. C43 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145835 | 2 |
| #19143575 | 2 |
| #19133170 | 2 |
| #19133016 | 2 |
| #19132459 | 2 |
| #19132458 | 2 |
| C43×#1515 | 2 |
| #9369 | 43 |