Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
394 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 157 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. #31770678 | C2 | semidirect |
| 3. #31770675 | C2 | semidirect |
| 4. #31770662 | C2 | semidirect |
| 5. #31770570 | C2 | semidirect |
| 6. #432×C269 | C2 | semidirect |
| 88. C269 | #2980 | semidirect |
| 94. #432 | D269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771155 | 2 |
| #31770678 | 2 |
| #31770675 | 2 |
| #31770662 | 2 |
| #31770570 | 2 |
| #432×C269 | 2 |
| #2980 | 269 |