Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. C13×#493 | C2 | semidirect |
| 2. #11718808 | C2 | semidirect |
| 3. #11718361 | C2 | semidirect |
| 4. #11718155 | C2 | semidirect |
| 5. #11718055 | C2 | semidirect |
| 28. Dic52 | D4 | semidirect |
| 29. D104 | D4 | semidirect |
| 51. #493 | D13 | semidirect |
| 95. C13 | #2213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#493 | 2 |
| #11718808 | 2 |
| #11718361 | 2 |
| #11718155 | 2 |
| #11718055 | 2 |
| #2213 | 13 |