Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134800 | C2 | semidirect |
| 3. #19134778 | C2 | semidirect |
| 5. #19132481 | C2 | semidirect |
| 6. #19132443 | C2 | semidirect |
| 22. #14582636 | C4 | semidirect |
| 23. #14582636 | C4 | semidirect |
| 24. #14582633 | C4 | semidirect |
| 25. #14582633 | C4 | semidirect |
| 248. C43 | #8875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143643 | 2 |
| #19134800 | 2 |
| #19134778 | 2 |
| #19133086 | 2 |
| #19132481 | 2 |
| #19132443 | 2 |
| C43×#1871 | 2 |
| #8875 | 43 |