Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19144726 | C2 | semidirect |
| 5. #19133145 | C2 | semidirect |
| 6. #19133043 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 197. #1288 | D43 | semidirect |
| 228. C43 | #10024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144982 | 2 |
| #19144726 | 2 |
| #19140458 | 2 |
| #19133218 | 2 |
| #19133145 | 2 |
| #19133043 | 2 |
| C43×#1288 | 2 |
| #10024 | 43 |