Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
216 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 59 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. #31770660 | C2 | semidirect |
| 3. #31770557 | C2 | semidirect |
| 4. #31770347 | C2 | semidirect |
| 5. #31770344 | C2 | semidirect |
| 6. #31770344 | C2 | semidirect |
| 7. #330×C269 | C2 | semidirect |
| 98. C269 | #1529 | semidirect |
| 104. #330 | D269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771140 | 2 |
| #31770660 | 2 |
| #31770557 | 2 |
| #31770347 | 2 |
| #31770344 | 2 |
| #330×C269 | 2 |
| #1529 | 269 |