Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
728 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19135573 | C2 | semidirect |
| 3. #19135571 | C2 | semidirect |
| 5. #19133332 | C2 | semidirect |
| 7. C43×#1561 | C2 | semidirect |
| 8. #14583653 | C4 | semidirect |
| 226. #1561 | D43 | semidirect |
| 259. C43 | #8531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149006 | 2 |
| #19135573 | 2 |
| #19135571 | 2 |
| #19135422 | 2 |
| #19133332 | 2 |
| #19133328 | 2 |
| C43×#1561 | 2 |
| #8531 | 43 |