Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
296 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136409 | C2 | semidirect |
| 3. #19136198 | C2 | semidirect |
| 4. #19132628 | C2 | semidirect |
| 5. #19132627 | C2 | semidirect |
| 6. #19132627 | C2 | semidirect |
| 7. C43×#1355 | C2 | semidirect |
| 144. #1355 | D43 | semidirect |
| 169. C43 | #11913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145244 | 2 |
| #19136409 | 2 |
| #19136198 | 2 |
| #19132628 | 2 |
| #19132627 | 2 |
| C43×#1355 | 2 |
| #11913 | 43 |