Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C13×#498 | C2 | semidirect |
| 3. #11718754 | C2 | semidirect |
| 5. #11718514 | C2 | semidirect |
| 6. #11718360 | C2 | semidirect |
| 58. #498 | D13 | semidirect |
| 111. C13 | #3185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719433 | 2 |
| C13×#498 | 2 |
| #11718754 | 2 |
| #11718529 | 2 |
| #11718514 | 2 |
| #11718360 | 2 |
| C4×#6094 | 2 |
| #3185 | 13 |