Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
152 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 152 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 |
|---|---|---|
| 71. C269 | #1587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31770736 | 2 |
| #31770729 | 2 |
| C4×#16864392 | 2 |
| #31770355 | 2 |
| #31770337 | 2 |
| #31770326 | 2 |
| Q8⋊C8×C269 | 2 |
| #1587 | 269 |