Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
566 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 167 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. #19143206 | C2 | semidirect |
| 3. #19136810 | C2 | semidirect |
| 4. #19136368 | C2 | semidirect |
| 5. C2×#14582713 | C2 | semidirect |
| 6. C43×#2115 | C2 | semidirect |
| 13. #14582948 | C22 | semidirect |
| 18. #14582722 | C22 | semidirect |
| 22. C43×#349 | C22 | semidirect |
| 131. #2115 | D43 | semidirect |
| 152. #349 | C2×D43 | semidirect |
| 153. C43 | #33657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144243 | 2 |
| #19143206 | 2 |
| #19136810 | 2 |
| #19136368 | 2 |
| C2×#14582713 | 2 |
| C43×#2115 | 2 |
| #33657 | 43 |