Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 424 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. #19136269 | C2 | semidirect |
| 4. #19135147 | C2 | semidirect |
| 6. #19132724 | C2 | semidirect |
| 7. C43×#1868 | C2 | semidirect |
| 194. #1868 | D43 | semidirect |
| 223. C43 | #13433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145468 | 2 |
| #19136269 | 2 |
| #19136244 | 2 |
| #19135147 | 2 |
| #19135122 | 2 |
| #19132724 | 2 |
| C43×#1868 | 2 |
| #13433 | 43 |