Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
690 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19137192 | C2 | semidirect |
| 3. #19133163 | C2 | semidirect |
| 4. C2×#14582622 | C2 | semidirect |
| 5. #19132463 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1519 | C2 | semidirect |
| 11. #14582825 | C4 | semidirect |
| 13. #14582807 | C4 | semidirect |
| 53. C43⋊#95 | D4 | semidirect |
| 68. #95×C43 | D4 | semidirect |
| 243. #1519 | D43 | semidirect |
| 277. C43 | #9205 | semidirect |
| 319. #95 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140331 | 2 |
| #19137192 | 2 |
| #19133163 | 2 |
| C2×#14582622 | 2 |
| #19132463 | 2 |
| #19132462 | 2 |
| C43×#1519 | 2 |
| #9205 | 43 |