Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
540 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 540 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 |
|---|---|---|
| 2. #19143665 | C2 | semidirect |
| 3. #19133309 | C2 | semidirect |
| 4. #19133229 | C2 | semidirect |
| 5. #19132468 | C2 | semidirect |
| 6. #19132466 | C2 | semidirect |
| 7. C43×#1555 | C2 | semidirect |
| 161. #1555 | D43 | semidirect |
| 188. C43 | #9423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145045 | 2 |
| #19143665 | 2 |
| #19133309 | 2 |
| #19133229 | 2 |
| #19132468 | 2 |
| #19132466 | 2 |
| C43×#1555 | 2 |
| #9423 | 43 |