Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
286 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 286 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. #19132590 | C2 | semidirect |
| 5. #19132584 | C2 | semidirect |
| 7. C43×#2165 | C2 | semidirect |
| 9. #14583301 | C4 | semidirect |
| 10. #14583283 | C4 | semidirect |
| 15. #14583012 | C4 | semidirect |
| 16. #14583007 | C4 | semidirect |
| 137. #2165 | D43 | semidirect |
| 166. C43 | #11836 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145324 | 2 |
| #19134744 | 2 |
| #19132590 | 2 |
| #19132587 | 2 |
| #19132584 | 2 |
| #19132581 | 2 |
| C43×#2165 | 2 |
| #11836 | 43 |