Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
728 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 127 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. #19136249 | C2 | semidirect |
| 3. #19135148 | C2 | semidirect |
| 17. C43×#563 | C4 | semidirect |
| 18. C43×#559 | C4 | semidirect |
| 199. #563 | Dic43 | semidirect |
| 200. #559 | Dic43 | semidirect |
| 218. C43 | #12771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136280 | 2 |
| #19136249 | 2 |
| #19135148 | 2 |
| #19134979 | 2 |
| C43×#3550 | 2 |
| #12771 | 43 |