Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
480 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 6. #11718377 | C2 | direct (N × H) |
| 14. C2×Dic52 | C4 | semidirect |
| 39. Dic52 | C2×C4 | semidirect |
| 86. C2×C13 | #441 | semidirect |
| 108. C13 | C2×#441 | semidirect |
| 134. C2 | #11718377 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic52 | 2 |
| C2×C4×Dic26 | 2 |
| C2×C13×#97 | 2 |
| C2×#88057 | 2 |
| C2×#88056 | 2 |
| #11718377 | 2 |
| C2×#441 | 13 |