Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
970 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 970 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 1. #19144721 | C2 | semidirect |
| 3. #19133586 | C2 | semidirect |
| 4. #19133552 | C2 | semidirect |
| 5. #19133107 | C2 | semidirect |
| 217. C43 | #18181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144721 | 2 |
| #19137879 | 2 |
| #19133586 | 2 |
| #19133552 | 2 |
| #19133107 | 2 |
| #19132936 | 2 |
| C43×#3501 | 2 |
| #18181 | 43 |