Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
396 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19133358 | C2 | semidirect |
| 3. #19133209 | C2 | semidirect |
| 5. #19133106 | C2 | semidirect |
| 7. C43×#1746 | C2 | semidirect |
| 10. #14583297 | C4 | semidirect |
| 11. #14583272 | C4 | semidirect |
| 12. #14583250 | C4 | semidirect |
| 13. #14583246 | C4 | semidirect |
| 173. #1746 | D43 | semidirect |
| 207. C43 | #9766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145154 | 2 |
| #19133358 | 2 |
| #19133209 | 2 |
| #19133205 | 2 |
| #19133106 | 2 |
| #19133102 | 2 |
| C43×#1746 | 2 |
| #9766 | 43 |