Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
890 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 890 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. #19136302 | C2 | semidirect |
| 3. #19136209 | C2 | semidirect |
| 4. #19134641 | C2 | semidirect |
| 6. C2×#13063265 | C22 | semidirect |
| 7. C22×C43⋊C16 | C22 | semidirect |
| 8. #14582937 | C22 | semidirect |
| 20. C43×#575 | C4 | semidirect |
| 178. #575 | Dic43 | semidirect |
| 191. C43 | #12745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136331 | 2 |
| #19136302 | 2 |
| #19136209 | 2 |
| #19134641 | 2 |
| C43×#3584 | 2 |
| #12745 | 43 |