Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
410 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 10. #14583304 | C4 | semidirect |
| 11. #14583250 | C4 | semidirect |
| 181. C43 | #9288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145748 | 2 |
| #19143532 | 2 |
| #19135567 | 2 |
| #19133277 | 2 |
| #19133158 | 2 |
| #19132425 | 2 |
| C43×#1286 | 2 |
| #9288 | 43 |