Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
500 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 500 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. #19144626 | C2 | semidirect |
| 3. #19133229 | C2 | semidirect |
| 4. #19133064 | C2 | semidirect |
| 5. #19132939 | C2 | semidirect |
| 6. #19132456 | C2 | semidirect |
| 7. C43×#3112 | C2 | semidirect |
| 192. #3112 | D43 | semidirect |
| 229. C43 | #10040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145590 | 2 |
| #19144626 | 2 |
| #19133229 | 2 |
| #19133064 | 2 |
| #19132939 | 2 |
| #19132456 | 2 |
| C43×#3112 | 2 |
| #10040 | 43 |