Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
348 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11719521 | C2 | semidirect |
| 2. C2×#88196 | C2 | semidirect |
| 4. C13×#419 | C2 | semidirect |
| 5. #11718667 | C2 | semidirect |
| 6. #11718666 | C2 | semidirect |
| 7. #11718148 | C2 | semidirect |
| 118. #419 | D13 | semidirect |
| 211. C13 | #2009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719521 | 2 |
| C2×#88196 | 2 |
| #11719453 | 2 |
| C13×#419 | 2 |
| #11718667 | 2 |
| #11718666 | 2 |
| #11718148 | 2 |
| #2009 | 13 |