Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19133146 | C2 | semidirect |
| 5. #19132468 | C2 | semidirect |
| 6. #19132461 | C2 | semidirect |
| 7. C43×#2987 | C2 | semidirect |
| 9. #14583302 | C4 | semidirect |
| 10. #14583273 | C4 | semidirect |
| 11. #14583249 | C4 | semidirect |
| 12. #14583247 | C4 | semidirect |
| 152. #2987 | D43 | semidirect |
| 182. C43 | #9418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145314 | 2 |
| #19133229 | 2 |
| #19133146 | 2 |
| #19133143 | 2 |
| #19132468 | 2 |
| #19132461 | 2 |
| C43×#2987 | 2 |
| #9418 | 43 |