Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14583305 | C4 | semidirect |
| 10. #14583305 | C4 | semidirect |
| 210. C43 | #9440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145148 | 2 |
| #19137700 | 2 |
| #19133221 | 2 |
| #19133107 | 2 |
| #19132488 | 2 |
| #19132487 | 2 |
| C43×#1506 | 2 |
| #9440 | 43 |