Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
374 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 9. #14583302 | C4 | semidirect |
| 10. #14583278 | C4 | semidirect |
| 11. #14583251 | C4 | semidirect |
| 12. #14583249 | C4 | semidirect |
| 199. C43 | #9765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145177 | 2 |
| #19134348 | 2 |
| #19133356 | 2 |
| #19133209 | 2 |
| #19133108 | 2 |
| #19133107 | 2 |
| C43×#1531 | 2 |
| #9765 | 43 |