Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
142 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 55 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. #11718343 | C2 | semidirect |
| 3. C13×C4⋊C16 | C2 | semidirect |
| 5. #11718097 | C2 | semidirect |
| 26. D104 | Q8 | semidirect |
| 45. C4⋊C16 | D13 | semidirect |
| 83. C13 | #2226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D104 | 2 |
| #11718343 | 2 |
| C13×C4⋊C16 | 2 |
| #11718101 | 2 |
| #11718097 | 2 |
| #2226 | 13 |