Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
630 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135587 | C2 | semidirect |
| 5. #19133016 | C2 | semidirect |
| 6. #19132952 | C2 | semidirect |
| 7. C43×#1559 | C2 | semidirect |
| 233. #1559 | D43 | semidirect |
| 272. C43 | #8485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149205 | 2 |
| #19135587 | 2 |
| #19133203 | 2 |
| #19133058 | 2 |
| #19133016 | 2 |
| #19132952 | 2 |
| C43×#1559 | 2 |
| #8485 | 43 |