Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
580 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19143636 | C2 | semidirect |
| 3. #19133110 | C2 | semidirect |
| 4. #19132448 | C2 | semidirect |
| 5. C4×#99×C43 | C2 | semidirect |
| 11. #14582838 | C4 | semidirect |
| 12. #14582835 | C4 | semidirect |
| 13. #14582816 | C4 | semidirect |
| 15. #14582808 | C4 | semidirect |
| 43. C22⋊(C43⋊C8) | D4 | semidirect |
| 198. C4×#99 | D43 | semidirect |
| 228. C43 | #9186 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143636 | 2 |
| #19140479 | 2 |
| #19133110 | 2 |
| #19132448 | 2 |
| C4×#99×C43 | 2 |
| #9186 | 43 |