Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
166 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 166 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. #11718754 | C2 | semidirect |
| 5. #11718139 | C2 | semidirect |
| 6. #11718078 | C2 | semidirect |
| 7. #11718072 | C2 | semidirect |
| 118. C13 | #1679 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#461 | 2 |
| #11718754 | 2 |
| D4×#1055 | 2 |
| #11718668 | 2 |
| #11718139 | 2 |
| #11718078 | 2 |
| #11718072 | 2 |
| #1679 | 13 |