Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19136287 | C2 | semidirect |
| 3. #19136286 | C2 | semidirect |
| 4. #19136244 | C2 | semidirect |
| 5. #19134643 | C2 | semidirect |
| 6. #19134397 | C2 | semidirect |
| 7. C43×#2122 | C2 | semidirect |
| 8. C22×#10621882 | C4 | semidirect |
| 16. #14582935 | C4 | semidirect |
| 17. #14582904 | C4 | semidirect |
| 18. #14582903 | C4 | semidirect |
| 215. #2122 | D43 | semidirect |
| 248. C43 | #13234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144240 | 2 |
| #19136287 | 2 |
| #19136286 | 2 |
| #19136244 | 2 |
| #19134643 | 2 |
| #19134397 | 2 |
| C43×#2122 | 2 |
| #13234 | 43 |