Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
930 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 930 conjugacy classes of subgroups — too many to draw. Only its 159 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. #19136331 | C2 | semidirect |
| 2. #19136311 | C2 | semidirect |
| 3. #19136216 | C2 | semidirect |
| 4. #19134641 | C2 | semidirect |
| 6. C2×#13063265 | C22 | semidirect |
| 7. #14582937 | C22 | semidirect |
| 18. C2×#135×C43 | C4 | semidirect |
| 20. C22×D8×C43 | C4 | semidirect |
| 185. C2×#135 | Dic43 | semidirect |
| 187. C22×D8 | Dic43 | semidirect |
| 197. C43 | #12741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136331 | 2 |
| #19136311 | 2 |
| #19136216 | 2 |
| #19134641 | 2 |
| C2×C43×#576 | 2 |
| #12741 | 43 |