Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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. #11718783 | C2 | semidirect |
| 5. #11718658 | C2 | semidirect |
| 6. C13×#344 | C2 | semidirect |
| 7. #11718148 | C2 | semidirect |
| 19. C2×#6094 | C4 | semidirect |
| 20. C2×C8×D13 | C4 | semidirect |
| 21. #88064 | C4 | semidirect |
| 22. #88063 | C4 | semidirect |
| 95. #344 | D13 | semidirect |
| 168. C13 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88161 | 2 |
| #11718793 | 2 |
| #11718783 | 2 |
| #11718667 | 2 |
| #11718658 | 2 |
| C13×#344 | 2 |
| #11718148 | 2 |
| #1757 | 13 |