Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
430 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 113 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. #31771150 | C2 | semidirect |
| 2. #31770894 | C2 | semidirect |
| 3. #31770893 | C2 | semidirect |
| 4. #31770858 | C2 | semidirect |
| 5. #31770856 | C2 | semidirect |
| 6. #31770799 | C2 | semidirect |
| 7. #31770798 | C2 | semidirect |
| 8. #31770628 | C2 | semidirect |
| 9. #469×C269 | C2 | semidirect |
| 112. C269 | #3253 | semidirect |
| 119. #469 | D269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771150 | 2 |
| #31770894 | 2 |
| #31770893 | 2 |
| #31770858 | 2 |
| #31770856 | 2 |
| #31770799 | 2 |
| #31770798 | 2 |
| #31770628 | 2 |
| #469×C269 | 2 |
| #3253 | 269 |