Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
400 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19133222 | C2 | semidirect |
| 4. #19132951 | C2 | semidirect |
| 5. C43⋊#1308 | C2 | semidirect |
| 6. #19132458 | C2 | semidirect |
| 178. C43 | #9335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143666 | 2 |
| #19133300 | 2 |
| #19133222 | 2 |
| #19132951 | 2 |
| C43⋊#1308 | 2 |
| #19132458 | 2 |
| C43×#3234 | 2 |
| #9335 | 43 |