Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 1. C2×D208 | C2 | semidirect |
| 2. C2×#88038 | C2 | semidirect |
| 3. #11718544 | C2 | semidirect |
| 4. C13×#367 | C2 | semidirect |
| 5. #11718083 | C2 | semidirect |
| 26. C13×C16 | D4 | semidirect |
| 45. #367 | D13 | semidirect |
| 82. C16 | D52 | semidirect |
| 83. C13 | #2218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D208 | 2 |
| C2×#88038 | 2 |
| #11718544 | 2 |
| C13×#367 | 2 |
| #11718083 | 2 |
| #2218 | 13 |