Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
452 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19133189 | C2 | semidirect |
| 5. #19133108 | C2 | semidirect |
| 6. #19132487 | C2 | semidirect |
| 7. C43×#1291 | C2 | semidirect |
| 11. #14583195 | C4 | semidirect |
| 12. #14583190 | C4 | semidirect |
| 13. #14583110 | C4 | semidirect |
| 14. #14583105 | C4 | semidirect |
| 196. #1291 | D43 | semidirect |
| 227. C43 | #9159 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144758 | 2 |
| #19143607 | 2 |
| #19134408 | 2 |
| #19133189 | 2 |
| #19133108 | 2 |
| #19132487 | 2 |
| C43×#1291 | 2 |
| #9159 | 43 |