Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
244 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 15. #88144 | C4 | semidirect |
| 16. #88142 | C4 | semidirect |
| 33. C42×C13 | Q8 | semidirect |
| 44. C4×Dic13 | Q8 | semidirect |
| 132. C42 | Dic26 | semidirect |
| 133. C13 | #1995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719222 | 2 |
| #11718779 | 2 |
| #11718593 | 2 |
| C13×#339 | 2 |
| #11718147 | 2 |
| #11718124 | 2 |
| #11718115 | 2 |
| #1995 | 13 |