Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
446 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19133197 | C2 | semidirect |
| 5. #19132489 | C2 | semidirect |
| 6. #19132487 | C2 | semidirect |
| 7. C43×#1528 | C2 | semidirect |
| 194. #1528 | D43 | semidirect |
| 227. C43 | #9390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143231 | 2 |
| #19140295 | 2 |
| #19133197 | 2 |
| #19132927 | 2 |
| #19132489 | 2 |
| #19132487 | 2 |
| C43×#1528 | 2 |
| #9390 | 43 |