Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
646 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 646 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19143057 | C2 | semidirect |
| 3. #19136267 | C2 | semidirect |
| 4. #19134571 | C2 | semidirect |
| 5. #19132725 | C2 | semidirect |
| 6. #19132715 | C2 | semidirect |
| 7. C43×#2122 | C2 | semidirect |
| 9. C2×#13063351 | C4 | semidirect |
| 10. C22×#10621883 | C4 | semidirect |
| 18. #14582907 | C4 | semidirect |
| 19. #14582893 | C4 | semidirect |
| 244. #2122 | D43 | semidirect |
| 278. C43 | #13103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143879 | 2 |
| #19143057 | 2 |
| #19136267 | 2 |
| #19134571 | 2 |
| #19132725 | 2 |
| #19132715 | 2 |
| C43×#2122 | 2 |
| #13103 | 43 |