Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 490 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. #19133330 | C2 | semidirect |
| 3. #19132739 | C2 | semidirect |
| 4. C43×#2126 | C2 | semidirect |
| 5. #14583735 | C4 | semidirect |
| 8. #14583076 | C4 | semidirect |
| 13. #14582883 | C4 | semidirect |
| 15. #14582643 | C22 | semidirect |
| 19. C43×#353 | C22 | semidirect |
| 173. #2126 | D43 | semidirect |
| 194. #353 | C2×D43 | semidirect |
| 197. C43 | #13562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143943 | 2 |
| #19133330 | 2 |
| #19132739 | 2 |
| C43×#2126 | 2 |
| #13562 | 43 |