Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
460 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×Dic52 | C2 | semidirect |
| 4. C13×#427 | C2 | semidirect |
| 5. #11718665 | C2 | semidirect |
| 6. #11718548 | C2 | semidirect |
| 7. #11718529 | C2 | semidirect |
| 79. #427 | D13 | semidirect |
| 140. C13 | #3059 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic52 | 2 |
| C2×#88155 | 2 |
| #11719231 | 2 |
| C13×#427 | 2 |
| #11718665 | 2 |
| #11718548 | 2 |
| #11718529 | 2 |
| #3059 | 13 |