Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
160 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 16. #16864411 | C8 | semidirect |
| 62. C269 | #1283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22575520 | 2 |
| C4×#16864411 | 2 |
| #31770655 | 2 |
| #1283 | 269 |