Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
252 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 64 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. #11719130 | C2 | semidirect |
| 4. #11718286 | C2 | semidirect |
| 121. C13 | #1464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88131 | 2 |
| #11719130 | 2 |
| #11718305 | 2 |
| #11718286 | 2 |
| #1464 | 13 |