Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
326 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19132770 | C2 | semidirect |
| 11. C43×#533 | C4 | semidirect |
| 13. C43×#488 | C4 | semidirect |
| 19. C2×C4×C8×C43 | C4 | semidirect |
| 137. #533 | Dic43 | semidirect |
| 139. #488 | Dic43 | semidirect |
| 147. C2×C4×C8 | Dic43 | semidirect |
| 152. C43 | #13602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136280 | 2 |
| #19136260 | 2 |
| #19132770 | 2 |
| C43×#3131 | 2 |
| #13602 | 43 |