Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
212 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 17. #88076 | C4 | semidirect |
| 145. C13 | #1930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#419 | 2 |
| C2×#88076 | 2 |
| C2×#88075 | 2 |
| #11718658 | 2 |
| #11718656 | 2 |
| #11718150 | 2 |
| #11718146 | 2 |
| #1930 | 13 |