Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
438 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143665 | C2 | semidirect |
| 3. #19133298 | C2 | semidirect |
| 4. #19133218 | C2 | semidirect |
| 5. #19132946 | C2 | semidirect |
| 6. C43⋊#1308 | C2 | semidirect |
| 7. C43×#1287 | C2 | semidirect |
| 166. #1287 | D43 | semidirect |
| 192. C43 | #9333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145584 | 2 |
| #19143665 | 2 |
| #19133298 | 2 |
| #19133218 | 2 |
| #19132946 | 2 |
| C43⋊#1308 | 2 |
| C43×#1287 | 2 |
| #9333 | 43 |