Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
260 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 2. #11719092 | C2 | semidirect |
| 3. D13⋊M32 | C2 | semidirect |
| 4. #11718276 | C2 | semidirect |
| 7. C2×C13×D8 | C4 | semidirect |
| 11. D8×D13 | C4 | semidirect |
| 13. C2×D104 | C4 | semidirect |
| 16. #88102 | C22 | semidirect |
| 19. D13⋊C16 | C22 | semidirect |
| 95. C2×D8 | #261 | semidirect |
| 134. C13 | #2140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D13 | 2 |
| #11719092 | 2 |
| D13⋊M32 | 2 |
| #11718276 | 2 |
| #2140 | 13 |