Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
558 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #19143230 | C2 | semidirect |
| 3. #19134676 | C2 | semidirect |
| 5. #19132504 | C2 | semidirect |
| 6. #19132504 | C2 | semidirect |
| 272. C43 | #9512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143230 | 2 |
| #19138869 | 2 |
| #19134676 | 2 |
| #19132922 | 2 |
| #19132504 | 2 |
| C43×#1462 | 2 |
| #9512 | 43 |