Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
322 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 109 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. #31770915 | C2 | semidirect |
| 3. #31770910 | C2 | semidirect |
| 6. #31770814 | C2 | semidirect |
| 7. #31770813 | C2 | semidirect |
| 97. C269 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771215 | 2 |
| #31770915 | 2 |
| #31770910 | 2 |
| #31770863 | 2 |
| #31770844 | 2 |
| #31770814 | 2 |
| #31770813 | 2 |
| #31770633 | 2 |
| #470×C269 | 2 |
| #3261 | 269 |