Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 1. #19134346 | C2 | semidirect |
| 2. #19133358 | C2 | semidirect |
| 3. #19133206 | C2 | semidirect |
| 4. #19133103 | C2 | semidirect |
| 16. C43×#500 | C4 | semidirect |
| 17. C43×#493 | C4 | semidirect |
| 18. C43×#486 | C4 | semidirect |
| 144. #500 | Dic43 | semidirect |
| 145. #493 | Dic43 | semidirect |
| 146. #486 | Dic43 | semidirect |
| 161. C43 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134346 | 2 |
| #19133358 | 2 |
| #19133206 | 2 |
| #19133103 | 2 |
| C43×#3169 | 2 |
| #9764 | 43 |