Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
548 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #19133166 | C2 | semidirect |
| 4. #19132473 | C2 | semidirect |
| 11. #14582838 | C4 | semidirect |
| 12. #14582835 | C4 | semidirect |
| 13. #14582819 | C4 | semidirect |
| 14. #14582811 | C4 | semidirect |
| 220. C43 | #9385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143624 | 2 |
| #19139771 | 2 |
| #19133166 | 2 |
| #19132473 | 2 |
| C43×#1799 | 2 |
| #9385 | 43 |