Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. C13×#533 | C2 | semidirect |
| 3. #11718748 | C2 | semidirect |
| 4. #11718744 | C2 | semidirect |
| 5. #11718710 | C2 | semidirect |
| 6. #11718688 | C2 | semidirect |
| 7. #11718682 | C2 | semidirect |
| 8. #11718585 | C2 | semidirect |
| 91. #533 | D13 | semidirect |
| 176. C13 | #3254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#533 | 2 |
| #11719182 | 2 |
| #11718748 | 2 |
| #11718744 | 2 |
| #11718710 | 2 |
| #11718688 | 2 |
| #11718682 | 2 |
| #11718585 | 2 |
| #3254 | 13 |