Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
170 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 51 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×#486 | C2 | semidirect |
| 2. #11718745 | C2 | semidirect |
| 4. #11718349 | C2 | semidirect |
| 5. #11718138 | C2 | semidirect |
| 6. #11718136 | C2 | semidirect |
| 7. #11718050 | C2 | semidirect |
| 64. #486 | D13 | semidirect |
| 123. C13 | #1697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#486 | 2 |
| #11718745 | 2 |
| #11718733 | 2 |
| #11718349 | 2 |
| #11718138 | 2 |
| #11718136 | 2 |
| #11718050 | 2 |
| #1697 | 13 |