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 |
|---|---|---|
| 2. #19136803 | C2 | semidirect |
| 3. #19136786 | C2 | semidirect |
| 4. #19136381 | C2 | semidirect |
| 5. #19136305 | C2 | semidirect |
| 6. #19136206 | C2 | semidirect |
| 7. C2×C43×#427 | C2 | semidirect |
| 16. #14582726 | C22 | semidirect |
| 17. #14582724 | C22 | semidirect |
| 18. #14582702 | C22 | semidirect |
| 19. #14582699 | C22 | semidirect |
| 140. C2×#427 | D43 | semidirect |
| 170. C43 | #33647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144176 | 2 |
| #19136803 | 2 |
| #19136786 | 2 |
| #19136381 | 2 |
| #19136305 | 2 |
| #19136206 | 2 |
| C2×C43×#427 | 2 |
| #33647 | 43 |