Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
520 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 135 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. #19145340 | C2 | semidirect |
| 2. #19136814 | C2 | semidirect |
| 3. #19136766 | C2 | semidirect |
| 4. #19136676 | C2 | semidirect |
| 6. #19136486 | C2 | semidirect |
| 7. #19136407 | C2 | semidirect |
| 11. #14583297 | C22 | semidirect |
| 12. #14583279 | C22 | semidirect |
| 17. #14583007 | C22 | semidirect |
| 18. #14582723 | C22 | semidirect |
| 19. #14582720 | C22 | semidirect |
| 20. #14582714 | C22 | semidirect |
| 23. #14582677 | C22 | semidirect |
| 194. C43 | #33689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145340 | 2 |
| #19136814 | 2 |
| #19136766 | 2 |
| #19136676 | 2 |
| #19136546 | 2 |
| #19136486 | 2 |
| #19136407 | 2 |
| C43×#2956 | 2 |
| #33689 | 43 |