Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
682 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19136122 | C2 | semidirect |
| 3. #19136000 | C2 | semidirect |
| 4. #19135998 | C2 | semidirect |
| 5. #19132415 | C2 | semidirect |
| 6. #19132415 | C2 | semidirect |
| 7. C43×#1270 | C2 | semidirect |
| 20. #14582769 | C22 | semidirect |
| 23. #14582654 | C22 | semidirect |
| 25. C43×#336 | C22 | semidirect |
| 26. C43×#336 | C22 | semidirect |
| 247. #1270 | D43 | semidirect |
| 275. #336 | C2×D43 | semidirect |
| 276. #336 | C2×D43 | semidirect |
| 277. C43 | #7786 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140930 | 2 |
| #19136122 | 2 |
| #19136000 | 2 |
| #19135998 | 2 |
| #19132415 | 2 |
| C43×#1270 | 2 |
| #7786 | 43 |