Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #19133145 | C2 | semidirect |
| 5. #19133017 | C2 | semidirect |
| 6. #19132456 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 10. #14583308 | C4 | semidirect |
| 11. #14583308 | C4 | semidirect |
| 12. #14583259 | C4 | semidirect |
| 13. #14583259 | C4 | semidirect |
| 190. #1288 | D43 | semidirect |
| 224. C43 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145837 | 2 |
| #19143580 | 2 |
| #19133170 | 2 |
| #19133145 | 2 |
| #19133017 | 2 |
| #19132456 | 2 |
| C43×#1288 | 2 |
| #9369 | 43 |