Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
130 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 22. C13×Q16 | Q8 | semidirect |
| 81. Q16 | Dic26 | semidirect |
| 93. C13 | #2227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×Dic13 | 2 |
| #11718535 | 2 |
| C13×#358 | 2 |
| #11718156 | 2 |
| #11718096 | 2 |
| #11718093 | 2 |
| #11718081 | 2 |
| #2227 | 13 |