Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
486 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 83 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. C4×#13063240 | C2 | semidirect |
| 3. #19132620 | C2 | semidirect |
| 4. #19132593 | C2 | semidirect |
| 5. C43×#1460 | C2 | semidirect |
| 6. C2×#13063299 | C4 | semidirect |
| 8. #14582838 | C4 | semidirect |
| 10. #14582816 | C4 | semidirect |
| 16. #14582762 | C4 | semidirect |
| 190. #1460 | D43 | semidirect |
| 218. C43 | #11729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140479 | 2 |
| C4×#13063240 | 2 |
| #19132620 | 2 |
| #19132593 | 2 |
| C43×#1460 | 2 |
| #11729 | 43 |