Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
456 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 177 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. C2×#88161 | C2 | semidirect |
| 3. C13×#430 | C2 | semidirect |
| 4. #11718800 | C2 | semidirect |
| 5. #11718783 | C2 | semidirect |
| 6. #11718556 | C2 | semidirect |
| 7. #11718555 | C2 | semidirect |
| 13. #88163 | C4 | semidirect |
| 14. #88162 | C4 | semidirect |
| 17. #88161 | C22 | semidirect |
| 18. #88161 | C22 | semidirect |
| 22. C13×#108 | C22 | semidirect |
| 23. #88065 | C22 | semidirect |
| 24. #88055 | C22 | semidirect |
| 25. C8×Dic13 | C22 | semidirect |
| 80. #430 | D13 | semidirect |
| 107. #108 | C2×D13 | semidirect |
| 143. C13 | #2955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719453 | 2 |
| C2×#88161 | 2 |
| C13×#430 | 2 |
| #11718800 | 2 |
| #11718783 | 2 |
| #11718556 | 2 |
| #11718555 | 2 |
| #2955 | 13 |