Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 516 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 |
|---|---|---|
| 1. #19143679 | C2 | semidirect |
| 3. C4×#13063243 | C2 | semidirect |
| 5. #19132489 | C2 | semidirect |
| 6. #19132487 | C2 | semidirect |
| 243. C43 | #9032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143679 | 2 |
| #19137879 | 2 |
| C4×#13063243 | 2 |
| #19133038 | 2 |
| #19132489 | 2 |
| #19132487 | 2 |
| C43×#1490 | 2 |
| #9032 | 43 |