Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19136289 | C2 | semidirect |
| 4. #19135147 | C2 | semidirect |
| 6. #19132718 | C2 | semidirect |
| 7. C43×#1858 | C2 | semidirect |
| 192. #1858 | D43 | semidirect |
| 221. C43 | #13430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145468 | 2 |
| #19136289 | 2 |
| #19136286 | 2 |
| #19135147 | 2 |
| #19135142 | 2 |
| #19132718 | 2 |
| C43×#1858 | 2 |
| #13430 | 43 |