Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
712 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 163 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×#14583342 | C2 | semidirect |
| 2. C22×#13063269 | C2 | semidirect |
| 4. #19143462 | C2 | semidirect |
| 5. #19136656 | C2 | semidirect |
| 6. #19136634 | C2 | semidirect |
| 7. #19136355 | C2 | semidirect |
| 8. #19136300 | C2 | semidirect |
| 9. C43×#2140 | C2 | semidirect |
| 16. C2×Dic344 | C22 | semidirect |
| 17. C2×#13063270 | C22 | semidirect |
| 25. #14582993 | C22 | semidirect |
| 28. Dic43⋊C16 | C22 | semidirect |
| 29. #14582702 | C22 | semidirect |
| 30. #14582699 | C22 | semidirect |
| 42. C2×Dic172 | D4 | semidirect |
| 179. #2140 | D43 | semidirect |
| 211. C43 | #33587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583342 | 2 |
| C22×#13063269 | 2 |
| #19145076 | 2 |
| #19143462 | 2 |
| #19136656 | 2 |
| #19136634 | 2 |
| #19136355 | 2 |
| #19136300 | 2 |
| C43×#2140 | 2 |
| #33587 | 43 |