Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
560 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19135577 | C2 | semidirect |
| 4. #19133024 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#3104 | C2 | semidirect |
| 201. #3104 | D43 | semidirect |
| 238. C43 | #10016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144599 | 2 |
| #19137878 | 2 |
| #19135577 | 2 |
| #19133024 | 2 |
| #19133021 | 2 |
| #19132423 | 2 |
| C43×#3104 | 2 |
| #10016 | 43 |