Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
712 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 712 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 |
|---|---|---|
| 3. #19133129 | C2 | semidirect |
| 4. #19132449 | C2 | semidirect |
| 6. C2×#13063323 | C4 | semidirect |
| 7. C2×#13063312 | C4 | semidirect |
| 13. #14582806 | C4 | semidirect |
| 14. #14582802 | C4 | semidirect |
| 251. C43 | #9443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19138219 | 2 |
| #19134513 | 2 |
| #19133129 | 2 |
| #19132449 | 2 |
| C43×#2879 | 2 |
| #9443 | 43 |