Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
310 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19134714 | C2 | semidirect |
| 5. #19132490 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1301 | C2 | semidirect |
| 152. #1301 | D43 | semidirect |
| 175. C43 | #10629 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135426 | 2 |
| #19134714 | 2 |
| #19133245 | 2 |
| #19133242 | 2 |
| #19132490 | 2 |
| #19132423 | 2 |
| C43×#1301 | 2 |
| #10629 | 43 |