Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 376 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. #19136216 | C2 | semidirect |
| 2. #19134641 | C2 | semidirect |
| 3. #19132583 | C2 | semidirect |
| 4. #19132580 | C2 | semidirect |
| 12. C2×#135×C43 | C4 | semidirect |
| 15. C43×#470 | C4 | semidirect |
| 17. C43×#469 | C4 | semidirect |
| 21. C2×#106×C43 | C4 | semidirect |
| 177. C2×#135 | Dic43 | semidirect |
| 181. #470 | Dic43 | semidirect |
| 183. #469 | Dic43 | semidirect |
| 188. C2×#106 | Dic43 | semidirect |
| 194. C43 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136216 | 2 |
| #19134641 | 2 |
| #19132583 | 2 |
| #19132580 | 2 |
| C43×#3060 | 2 |
| #11867 | 43 |