Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
264 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 63 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×#416 | C2 | semidirect |
| 3. #11718901 | C2 | semidirect |
| 4. #11718774 | C2 | semidirect |
| 5. #11718763 | C2 | semidirect |
| 6. #11718667 | C2 | semidirect |
| 7. #11718123 | C2 | semidirect |
| 99. #416 | D13 | semidirect |
| 181. C13 | #2053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719527 | 2 |
| C13×#416 | 2 |
| #11718901 | 2 |
| #11718774 | 2 |
| #11718763 | 2 |
| #11718667 | 2 |
| #11718123 | 2 |
| #2053 | 13 |