Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
428 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 428 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. #19133190 | C2 | semidirect |
| 5. #19132484 | C2 | semidirect |
| 6. #19132432 | C2 | semidirect |
| 7. C43×#1493 | C2 | semidirect |
| 190. #1493 | D43 | semidirect |
| 222. C43 | #9214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144660 | 2 |
| #19143237 | 2 |
| #19133190 | 2 |
| #19133032 | 2 |
| #19132484 | 2 |
| #19132432 | 2 |
| C43×#1493 | 2 |
| #9214 | 43 |