Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
314 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 314 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. #19136367 | C2 | semidirect |
| 5. #19132698 | C2 | semidirect |
| 6. #19132679 | C2 | semidirect |
| 7. C43×#1773 | C2 | semidirect |
| 15. #14582714 | C4 | semidirect |
| 16. #14582711 | C4 | semidirect |
| 138. #1773 | D43 | semidirect |
| 161. C43 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136367 | 2 |
| #19136342 | 2 |
| #19136330 | 2 |
| #19135488 | 2 |
| #19132698 | 2 |
| #19132679 | 2 |
| C43×#1773 | 2 |
| #13140 | 43 |