Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
162 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 53 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×#446 | C2 | semidirect |
| 2. #11718692 | C2 | semidirect |
| 5. #11718078 | C2 | semidirect |
| 7. #11718049 | C2 | semidirect |
| 66. #446 | D13 | semidirect |
| 119. C13 | #1702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#446 | 2 |
| #11718692 | 2 |
| #11718688 | 2 |
| #11718355 | 2 |
| #11718078 | 2 |
| #11718077 | 2 |
| #11718049 | 2 |
| #1702 | 13 |