Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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×#462 | C2 | semidirect |
| 5. #11718842 | C2 | semidirect |
| 6. #11718751 | C2 | semidirect |
| 7. #11718692 | C2 | semidirect |
| 8. #11718510 | C2 | semidirect |
| 11. #11718453 | C2 | semidirect |
| 106. C4×D13 | Q16 | semidirect |
| 122. #462 | D13 | semidirect |
| 219. C13 | #3209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×C4⋊Q8 | 2 |
| #11719283 | 2 |
| C13×#462 | 2 |
| #11718847 | 2 |
| #11718842 | 2 |
| #11718751 | 2 |
| #11718692 | 2 |
| #11718510 | 2 |
| #11718494 | 2 |
| #11718469 | 2 |
| #11718453 | 2 |
| #3209 | 13 |