Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1134 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1134 conjugacy classes of subgroups — too many to draw. Only its 191 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. #19145723 | C2 | semidirect |
| 3. #19133631 | C2 | semidirect |
| 4. #19133089 | C2 | semidirect |
| 5. #19132919 | C2 | semidirect |
| 6. C43×#2568 | C2 | semidirect |
| 176. #2568 | D43 | semidirect |
| 208. C43 | #18409 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148366 | 2 |
| #19145723 | 2 |
| #19133631 | 2 |
| #19133089 | 2 |
| #19132919 | 2 |
| C43×#2568 | 2 |
| #18409 | 43 |