Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
402 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 161 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×#432 | C2 | semidirect |
| 3. #11718586 | C2 | semidirect |
| 4. #11718499 | C2 | semidirect |
| 5. #11718495 | C2 | semidirect |
| 6. #11718388 | C2 | semidirect |
| 7. #11718367 | C2 | semidirect |
| 78. #432 | D13 | semidirect |
| 143. C13 | #2981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719182 | 2 |
| C13×#432 | 2 |
| #11718586 | 2 |
| #11718499 | 2 |
| #11718495 | 2 |
| #11718388 | 2 |
| #11718367 | 2 |
| #2981 | 13 |