Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
348 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 96. Dic26 | Q16 | semidirect |
| 191. C13 | #3395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719426 | 2 |
| #11719272 | 2 |
| C13×#462 | 2 |
| #11718843 | 2 |
| #11718842 | 2 |
| #11718753 | 2 |
| C4×#6107 | 2 |
| #11718510 | 2 |
| #11718491 | 2 |
| #11718454 | 2 |
| #11718451 | 2 |
| #3395 | 13 |