Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1072 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 175 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. #19145148 | C2 | semidirect |
| 3. #19144418 | C2 | semidirect |
| 4. #19140538 | C2 | semidirect |
| 5. #19135808 | C2 | semidirect |
| 6. #19135434 | C2 | semidirect |
| 7. #19134806 | C2 | semidirect |
| 8. #19134406 | C2 | semidirect |
| 9. C43×#1995 | C2 | semidirect |
| 138. #10621877 | #41 | semidirect |
| 200. #1995 | D43 | semidirect |
| 236. C43 | #25690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148472 | 2 |
| #19145148 | 2 |
| #19144418 | 2 |
| #19140538 | 2 |
| #19135808 | 2 |
| #19135434 | 2 |
| #19134806 | 2 |
| #19134406 | 2 |
| C43×#1995 | 2 |
| #25690 | 43 |