Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19134669 | C2 | semidirect |
| 2. #19132922 | C2 | semidirect |
| 3. #19132595 | C2 | semidirect |
| 4. #19132592 | C2 | semidirect |
| 12. C2×#121×C43 | C4 | semidirect |
| 15. C43×#397 | C4 | semidirect |
| 19. C43×#392 | C4 | semidirect |
| 22. C43×#380 | C4 | semidirect |
| 229. C2×#121 | Dic43 | semidirect |
| 233. #397 | Dic43 | semidirect |
| 237. #392 | Dic43 | semidirect |
| 240. #380 | Dic43 | semidirect |
| 246. C43 | #11799 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134669 | 2 |
| #19132922 | 2 |
| #19132595 | 2 |
| #19132592 | 2 |
| C43×#2617 | 2 |
| #11799 | 43 |