Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 92. Dic26 | Q16 | semidirect |
| 185. C13 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719427 | 2 |
| #11719272 | 2 |
| C13×#477 | 2 |
| #11718754 | 2 |
| C4×#6107 | 2 |
| #11718536 | 2 |
| #11718534 | 2 |
| #11718510 | 2 |
| #11718491 | 2 |
| #11718454 | 2 |
| #11718453 | 2 |
| #3363 | 13 |