Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
160 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 65 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. Q16×Dic13 | C2 | semidirect |
| 4. #11718156 | C2 | semidirect |
| 6. #11718096 | C2 | semidirect |
| 7. #11718094 | C2 | semidirect |
| 12. C13×SD32 | C4 | semidirect |
| 24. C13×Q16 | C2×C4 | semidirect |
| 35. C13×C16 | C2×C4 | semidirect |
| 75. SD32 | Dic13 | semidirect |
| 91. Q16 | C2×Dic13 | semidirect |
| 103. C16 | C2×Dic13 | semidirect |
| 104. C13 | #2175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×SD32 | 2 |
| Q16×Dic13 | 2 |
| D8×Dic13 | 2 |
| #11718156 | 2 |
| #11718154 | 2 |
| #11718096 | 2 |
| #11718094 | 2 |
| #2175 | 13 |