Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 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. #31770735 | C2 | semidirect |
| 3. #31770734 | C2 | semidirect |
| 4. #31770733 | C2 | semidirect |
| 5. #31770732 | C2 | semidirect |
| 91. C269 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771158 | 2 |
| #31770735 | 2 |
| #31770734 | 2 |
| #31770733 | 2 |
| #31770732 | 2 |
| #31770666 | 2 |
| #31770663 | 2 |
| #31770659 | 2 |
| #433×C269 | 2 |
| #2987 | 269 |