Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
538 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19134662 | C2 | semidirect |
| 3. #19134352 | C2 | semidirect |
| 4. #19132421 | C2 | semidirect |
| 5. #19132415 | C2 | semidirect |
| 6. #19132415 | C2 | semidirect |
| 7. C43×#1272 | C2 | semidirect |
| 220. #1272 | D43 | semidirect |
| 251. C43 | #7670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142899 | 2 |
| #19134662 | 2 |
| #19134352 | 2 |
| #19132421 | 2 |
| #19132415 | 2 |
| C43×#1272 | 2 |
| #7670 | 43 |