Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
552 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 237 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 |
|---|---|---|
| 21. C4×Dic26 | C4 | semidirect |
| 71. Dic26 | C4⋊C4 | semidirect |
| 137. C13 | #2351 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic26 | 2 |
| C4×C13×C4⋊C4 | 2 |
| #11718633 | 2 |
| #11718597 | 2 |
| #11718589 | 2 |
| #11718311 | 2 |
| #11718310 | 2 |
| #2351 | 13 |