Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 6. C22×Dic172 | C4 | semidirect |
| 13. #14582937 | C4 | semidirect |
| 14. #14582909 | C4 | semidirect |
| 184. C43 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144250 | 2 |
| #19136269 | 2 |
| #19136250 | 2 |
| #19134641 | 2 |
| C43×#1757 | 2 |
| #13230 | 43 |