Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
618 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19143624 | C2 | semidirect |
| 3. #19133162 | C2 | semidirect |
| 4. #19132473 | C2 | semidirect |
| 5. C43×#1799 | C2 | semidirect |
| 12. #14582829 | C4 | semidirect |
| 13. #14582824 | C4 | semidirect |
| 14. #14582816 | C4 | semidirect |
| 15. #14582808 | C4 | semidirect |
| 44. C22⋊(C43⋊C8) | D4 | semidirect |
| 209. #1799 | D43 | semidirect |
| 240. C43 | #9386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143624 | 2 |
| #19139551 | 2 |
| #19133162 | 2 |
| #19132473 | 2 |
| C43×#1799 | 2 |
| #9386 | 43 |