Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
324 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19134744 | C2 | semidirect |
| 3. #19132587 | C2 | semidirect |
| 4. #19132581 | C2 | semidirect |
| 5. C43×#2165 | C2 | semidirect |
| 7. #14583297 | C4 | semidirect |
| 8. #14583276 | C4 | semidirect |
| 13. #14583012 | C4 | semidirect |
| 115. #2165 | D43 | semidirect |
| 139. C43 | #11837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145333 | 2 |
| #19134744 | 2 |
| #19132587 | 2 |
| #19132581 | 2 |
| C43×#2165 | 2 |
| #11837 | 43 |