Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1088 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 151 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. C2×C4×C22⋊Dic43 | C2 | semidirect |
| 2. #19134505 | C2 | semidirect |
| 3. C2×#14582633 | C2 | semidirect |
| 4. #19132473 | C2 | semidirect |
| 14. C2×#121×C43 | C4 | semidirect |
| 19. C43×#380 | C4 | semidirect |
| 31. C43⋊#95 | D4 | semidirect |
| 212. C2×#121 | Dic43 | semidirect |
| 221. #380 | Dic43 | semidirect |
| 226. C43 | #9150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊Dic43 | 2 |
| #19134505 | 2 |
| C2×#14582633 | 2 |
| #19132473 | 2 |
| C43×#2847 | 2 |
| #9150 | 43 |