Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
412 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 412 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 |
|---|---|---|
| 3. #19133384 | C2 | semidirect |
| 4. #19133383 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 7. C43×#1276 | C2 | semidirect |
| 22. #14582647 | C4 | semidirect |
| 23. #14582647 | C4 | semidirect |
| 24. #14582642 | C4 | semidirect |
| 25. #14582642 | C4 | semidirect |
| 164. #1276 | D43 | semidirect |
| 191. C43 | #8935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143661 | 2 |
| #19135423 | 2 |
| #19133384 | 2 |
| #19133383 | 2 |
| #19133255 | 2 |
| #19132428 | 2 |
| C43×#1276 | 2 |
| #8935 | 43 |