Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
770 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 1. #19143040 | C2 | semidirect |
| 2. #19134513 | C2 | semidirect |
| 3. #19133124 | C2 | semidirect |
| 4. #19132448 | C2 | semidirect |
| 15. C2×#127×C43 | C4 | semidirect |
| 16. C2×#124×C43 | C4 | semidirect |
| 20. C43×#391 | C4 | semidirect |
| 21. C43×#390 | C4 | semidirect |
| 35. C22⋊(C43⋊C8) | D4 | semidirect |
| 254. C2×#127 | Dic43 | semidirect |
| 255. C2×#124 | Dic43 | semidirect |
| 264. #391 | Dic43 | semidirect |
| 265. #390 | Dic43 | semidirect |
| 271. C43 | #9445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143040 | 2 |
| #19134513 | 2 |
| #19133124 | 2 |
| #19132448 | 2 |
| C43×#2431 | 2 |
| #9445 | 43 |