Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
438 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 438 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. #19133129 | C2 | semidirect |
| 5. #19132958 | C2 | semidirect |
| 6. #19132504 | C2 | semidirect |
| 7. C43×#1293 | C2 | semidirect |
| 11. #14583235 | C4 | semidirect |
| 12. #14583218 | C4 | semidirect |
| 16. #14583057 | C4 | semidirect |
| 17. #14583040 | C4 | semidirect |
| 216. #1293 | D43 | semidirect |
| 251. C43 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145427 | 2 |
| #19143655 | 2 |
| #19133152 | 2 |
| #19133129 | 2 |
| #19132958 | 2 |
| #19132504 | 2 |
| C43×#1293 | 2 |
| #9331 | 43 |