Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19143685 | C2 | semidirect |
| 3. #19134428 | C2 | semidirect |
| 6. #19132493 | C2 | semidirect |
| 7. C43×#1285 | C2 | semidirect |
| 11. #14583195 | C4 | semidirect |
| 12. #14583195 | C4 | semidirect |
| 13. #14583100 | C4 | semidirect |
| 14. #14583100 | C4 | semidirect |
| 204. #1285 | D43 | semidirect |
| 236. C43 | #9164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144718 | 2 |
| #19143685 | 2 |
| #19134428 | 2 |
| #19133207 | 2 |
| #19133089 | 2 |
| #19132493 | 2 |
| C43×#1285 | 2 |
| #9164 | 43 |