Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
326 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 184. C13 | #3374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719426 | 2 |
| #11719275 | 2 |
| C13×#462 | 2 |
| #11718845 | 2 |
| #11718843 | 2 |
| #11718742 | 2 |
| C4×#6107 | 2 |
| #11718512 | 2 |
| #11718492 | 2 |
| #11718460 | 2 |
| #11718458 | 2 |
| #3374 | 13 |