Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 512 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. #19145254 | C2 | semidirect |
| 2. #19136814 | C2 | semidirect |
| 3. #19136771 | C2 | semidirect |
| 4. #19136676 | C2 | semidirect |
| 6. #19136486 | C2 | semidirect |
| 7. #19136411 | C2 | semidirect |
| 11. #14583301 | C22 | semidirect |
| 12. #14583279 | C22 | semidirect |
| 16. #14583007 | C22 | semidirect |
| 18. #14582723 | C22 | semidirect |
| 19. #14582720 | C22 | semidirect |
| 20. #14582714 | C22 | semidirect |
| 23. #14582677 | C22 | semidirect |
| 193. C43 | #33693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145254 | 2 |
| #19136814 | 2 |
| #19136771 | 2 |
| #19136676 | 2 |
| #19136546 | 2 |
| #19136486 | 2 |
| #19136411 | 2 |
| C43×#2955 | 2 |
| #33693 | 43 |