Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
784 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 784 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. #19133308 | C2 | semidirect |
| 3. #19133221 | C2 | semidirect |
| 4. #19132929 | C2 | semidirect |
| 5. C43×#1464 | C2 | semidirect |
| 200. #1464 | D43 | semidirect |
| 229. C43 | #8526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583504 | 2 |
| #19133308 | 2 |
| #19133221 | 2 |
| #19132929 | 2 |
| C43×#1464 | 2 |
| #8526 | 43 |