Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1046 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 1046 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19140529 | C2 | semidirect |
| 3. C2×#14582636 | C2 | semidirect |
| 4. C2×#14582634 | C2 | semidirect |
| 5. #19132836 | C2 | semidirect |
| 6. #19132437 | C2 | semidirect |
| 7. C2×C43×#450 | C2 | semidirect |
| 269. C2×#450 | D43 | semidirect |
| 309. C43 | #9963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583033 | 2 |
| #19140529 | 2 |
| C2×#14582636 | 2 |
| C2×#14582634 | 2 |
| #19132836 | 2 |
| #19132437 | 2 |
| C2×C43×#450 | 2 |
| #9963 | 43 |