Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
406 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #19136369 | C2 | semidirect |
| 4. #19135341 | C2 | semidirect |
| 5. #19132697 | C2 | semidirect |
| 6. #19132676 | C2 | semidirect |
| 19. #14582709 | C4 | semidirect |
| 36. #13063265 | C2×C4 | semidirect |
| 40. #13063257 | C2×C4 | semidirect |
| 180. C43 | #12951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×Dic43 | 2 |
| #19136369 | 2 |
| #19136331 | 2 |
| #19135341 | 2 |
| #19132697 | 2 |
| #19132676 | 2 |
| C43×#2148 | 2 |
| #12951 | 43 |