Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
802 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 802 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. #19137425 | C2 | semidirect |
| 3. #19135431 | C2 | semidirect |
| 4. #19133112 | C2 | semidirect |
| 5. #19132502 | C2 | semidirect |
| 6. #19132481 | C2 | semidirect |
| 7. C43×#1789 | C2 | semidirect |
| 8. C2×#13063350 | C4 | semidirect |
| 14. #14582900 | C4 | semidirect |
| 29. C22×D172 | C2×C4 | semidirect |
| 35. C2×#10621877 | C2×C4 | semidirect |
| 42. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 160. D4×C43 | #99 | semidirect |
| 233. #1789 | D43 | semidirect |
| 267. C43 | #9365 | semidirect |
| 404. D4 | #13063239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143847 | 2 |
| #19137425 | 2 |
| #19135431 | 2 |
| #19133112 | 2 |
| #19132502 | 2 |
| #19132481 | 2 |
| C43×#1789 | 2 |
| #9365 | 43 |