Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
382 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 10. #14583304 | C4 | semidirect |
| 11. #14583297 | C4 | semidirect |
| 12. #14583250 | C4 | semidirect |
| 13. #14583250 | C4 | semidirect |
| 186. C43 | #9280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145756 | 2 |
| #19143692 | 2 |
| #19133108 | 2 |
| #19133067 | 2 |
| #19132423 | 2 |
| C43×#1287 | 2 |
| #9280 | 43 |