Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
264 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 73 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. C13×#432 | C2 | semidirect |
| 3. C4×#6099 | C2 | semidirect |
| 4. #11718056 | C2 | semidirect |
| 17. C13×#97 | C22 | semidirect |
| 18. #88043 | C22 | semidirect |
| 66. #432 | D13 | semidirect |
| 97. #97 | C2×D13 | semidirect |
| 126. C13 | #1527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88129 | 2 |
| C13×#432 | 2 |
| C4×#6099 | 2 |
| #11718056 | 2 |
| #1527 | 13 |