Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #19133312 | C2 | semidirect |
| 5. #19132452 | C2 | semidirect |
| 6. #19132450 | C2 | semidirect |
| 7. C43×#1556 | C2 | semidirect |
| 193. #1556 | D43 | semidirect |
| 225. C43 | #9455 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143623 | 2 |
| #19139549 | 2 |
| #19133312 | 2 |
| #19132935 | 2 |
| #19132452 | 2 |
| #19132450 | 2 |
| C43×#1556 | 2 |
| #9455 | 43 |