Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 51 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×Dic104 | C2 | semidirect |
| 4. C13×#366 | C2 | semidirect |
| 5. #11718084 | C2 | semidirect |
| 44. #366 | D13 | semidirect |
| 49. C2×D13 | Q32 | semidirect |
| 81. C13 | #2216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic104 | 2 |
| C2×C16×D13 | 2 |
| #11718548 | 2 |
| C13×#366 | 2 |
| #11718084 | 2 |
| #2216 | 13 |