Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 462 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. #19137396 | C2 | semidirect |
| 4. #19133196 | C2 | semidirect |
| 6. #19132450 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 10. #14583308 | C4 | semidirect |
| 11. #14583264 | C4 | semidirect |
| 197. #1288 | D43 | semidirect |
| 228. C43 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145787 | 2 |
| #19137396 | 2 |
| #19135514 | 2 |
| #19133196 | 2 |
| #19133141 | 2 |
| #19132450 | 2 |
| C43×#1288 | 2 |
| #9382 | 43 |