Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
296 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19133962 | C2 | semidirect |
| 4. #19132653 | C2 | semidirect |
| 5. #19132575 | C2 | semidirect |
| 7. C43×#2241 | C2 | semidirect |
| 123. #2241 | D43 | semidirect |
| 150. C43 | #12359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147464 | 2 |
| #19136637 | 2 |
| #19133962 | 2 |
| #19132653 | 2 |
| #19132575 | 2 |
| #19132557 | 2 |
| C43×#2241 | 2 |
| #12359 | 43 |