Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
338 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134735 | C2 | semidirect |
| 2. #19133363 | C2 | semidirect |
| 5. #19132493 | C2 | semidirect |
| 6. #19132484 | C2 | semidirect |
| 196. C43 | #8917 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134735 | 2 |
| #19133363 | 2 |
| #19133183 | 2 |
| #19133060 | 2 |
| #19132493 | 2 |
| #19132484 | 2 |
| C43×#2995 | 2 |
| #8917 | 43 |