Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19143607 | C2 | semidirect |
| 3. #19134406 | C2 | semidirect |
| 4. #19133187 | C2 | semidirect |
| 5. #19132488 | C2 | semidirect |
| 6. #19132468 | C2 | semidirect |
| 7. C43×#1505 | C2 | semidirect |
| 10. #14583181 | C4 | semidirect |
| 11. #14583176 | C4 | semidirect |
| 12. #14583096 | C4 | semidirect |
| 13. #14583091 | C4 | semidirect |
| 201. #1505 | D43 | semidirect |
| 235. C43 | #9161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144740 | 2 |
| #19143607 | 2 |
| #19134406 | 2 |
| #19133187 | 2 |
| #19132488 | 2 |
| #19132468 | 2 |
| C43×#1505 | 2 |
| #9161 | 43 |