Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
484 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 162 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×#88240 | C2 | semidirect |
| 2. C2×#88238 | C2 | semidirect |
| 4. #11719159 | C2 | semidirect |
| 5. #11719147 | C2 | semidirect |
| 6. #11719065 | C2 | semidirect |
| 7. #11719064 | C2 | semidirect |
| 8. #11719052 | C2 | semidirect |
| 9. #11719047 | C2 | semidirect |
| 61. D13⋊C8 | D4 | semidirect |
| 183. C13 | #2932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88240 | 2 |
| C2×#88238 | 2 |
| #11719373 | 2 |
| #11719159 | 2 |
| #11719147 | 2 |
| #11719065 | 2 |
| #11719064 | 2 |
| #11719052 | 2 |
| #11719047 | 2 |
| #2932 | 13 |