Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 354 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. #19133360 | C2 | semidirect |
| 5. #19132494 | C2 | semidirect |
| 6. #19132484 | C2 | semidirect |
| 7. C43×#1849 | C2 | semidirect |
| 165. #1849 | D43 | semidirect |
| 199. C43 | #8916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143762 | 2 |
| #19133360 | 2 |
| #19133181 | 2 |
| #19133058 | 2 |
| #19132494 | 2 |
| #19132484 | 2 |
| C43×#1849 | 2 |
| #8916 | 43 |