Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 2. #19137700 | C2 | semidirect |
| 3. #19133221 | C2 | semidirect |
| 6. #19132489 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 10. #14583268 | C4 | semidirect |
| 11. #14583264 | C4 | semidirect |
| 190. #1300 | D43 | semidirect |
| 220. C43 | #9442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144996 | 2 |
| #19137700 | 2 |
| #19133221 | 2 |
| #19133104 | 2 |
| #19133102 | 2 |
| #19132489 | 2 |
| C43×#1300 | 2 |
| #9442 | 43 |