Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
934 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. #19143619 | C2 | semidirect |
| 3. #19134525 | C2 | semidirect |
| 4. #19132462 | C2 | semidirect |
| 5. C43×#1799 | C2 | semidirect |
| 14. #14582816 | C4 | semidirect |
| 15. #14582808 | C4 | semidirect |
| 31. C22×C43⋊C8 | D4 | semidirect |
| 121. C23×C43 | #102 | semidirect |
| 158. C2×C4×C43 | #102 | semidirect |
| 208. #1799 | D43 | semidirect |
| 237. C43 | #9468 | semidirect |
| 350. C23 | #13063245 | semidirect |
| 381. C2×C4 | #13063245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143619 | 2 |
| #19137951 | 2 |
| #19134525 | 2 |
| #19132462 | 2 |
| C43×#1799 | 2 |
| #9468 | 43 |