Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. C13×#491 | C2 | semidirect |
| 4. #11718743 | C2 | semidirect |
| 5. #11718730 | C2 | semidirect |
| 7. #11718453 | C2 | semidirect |
| 9. #11718364 | C2 | semidirect |
| 79. #491 | D13 | semidirect |
| 142. C13 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×C4⋊Q8 | 2 |
| #11719393 | 2 |
| C13×#491 | 2 |
| #11718743 | 2 |
| #11718730 | 2 |
| #11718463 | 2 |
| #11718453 | 2 |
| #11718368 | 2 |
| #11718364 | 2 |
| #3139 | 13 |