Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 11. #14583304 | C4 | semidirect |
| 12. #14583297 | C4 | semidirect |
| 167. C43 | #9427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145141 | 2 |
| #19137775 | 2 |
| #19133311 | 2 |
| #19133147 | 2 |
| #19133145 | 2 |
| #19132460 | 2 |
| C43×#1288 | 2 |
| #9427 | 43 |