Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
220 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 61 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. #31771001 | C2 | semidirect |
| 3. #31770977 | C2 | semidirect |
| 4. #31770953 | C2 | semidirect |
| 5. #31770952 | C2 | semidirect |
| 6. #31770327 | C2 | semidirect |
| 7. #492×C269 | C2 | semidirect |
| 47. #14524130 | SD16 | semidirect |
| 75. C269 | #1715 | semidirect |
| 80. #492 | D269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771001 | 2 |
| #31770981 | 2 |
| #31770977 | 2 |
| #31770953 | 2 |
| #31770952 | 2 |
| #31770327 | 2 |
| #492×C269 | 2 |
| #1715 | 269 |