Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
530 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #19132473 | C2 | semidirect |
| 4. #19132462 | C2 | semidirect |
| 11. #14582765 | C4 | semidirect |
| 12. #14582759 | C4 | semidirect |
| 14. C4×C4⋊Dic43 | C4 | semidirect |
| 15. C2×C43⋊#95 | C4 | semidirect |
| 212. C43 | #8760 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137505 | 2 |
| #19132913 | 2 |
| #19132473 | 2 |
| #19132462 | 2 |
| C43×#1799 | 2 |
| #8760 | 43 |