Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
506 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 506 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19134732 | C2 | semidirect |
| 3. #19133268 | C2 | semidirect |
| 4. #19133266 | C2 | semidirect |
| 6. #19132888 | C2 | semidirect |
| 180. C43 | #9777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583271 | 2 |
| #19134732 | 2 |
| #19133268 | 2 |
| #19133266 | 2 |
| #19133263 | 2 |
| #19132888 | 2 |
| C43×#1545 | 2 |
| #9777 | 43 |