Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
120 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 30. C13×C16 | Q8 | semidirect |
| 31. #6090 | Q8 | semidirect |
| 86. C16 | Dic26 | semidirect |
| 87. C13 | #2255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718539 | 2 |
| #11718535 | 2 |
| C13×#367 | 2 |
| #11718096 | 2 |
| #11718094 | 2 |
| #11718082 | 2 |
| #11718081 | 2 |
| #2255 | 13 |