Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
570 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19133280 | C2 | semidirect |
| 5. #19132497 | C2 | semidirect |
| 6. #19132496 | C2 | semidirect |
| 7. C43×#1549 | C2 | semidirect |
| 171. #1549 | D43 | semidirect |
| 198. C43 | #9403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143635 | 2 |
| #19139549 | 2 |
| #19134584 | 2 |
| #19133280 | 2 |
| #19132497 | 2 |
| #19132496 | 2 |
| C43×#1549 | 2 |
| #9403 | 43 |