Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
584 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 1. C2×#14582937 | C2 | semidirect |
| 2. #19136800 | C2 | semidirect |
| 3. #19136783 | C2 | semidirect |
| 4. #19136384 | C2 | semidirect |
| 5. #19136307 | C2 | semidirect |
| 6. #19136206 | C2 | semidirect |
| 14. #14582726 | C22 | semidirect |
| 15. #14582724 | C22 | semidirect |
| 16. #14582703 | C22 | semidirect |
| 17. #14582700 | C22 | semidirect |
| 170. C43 | #33647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582937 | 2 |
| #19136800 | 2 |
| #19136783 | 2 |
| #19136384 | 2 |
| #19136307 | 2 |
| #19136206 | 2 |
| C43×#3050 | 2 |
| #33647 | 43 |