Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
320 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 59. Dic52 | Q8 | semidirect |
| 150. C13 | #3390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719390 | 2 |
| C13×#499 | 2 |
| #11718724 | 2 |
| #11718538 | 2 |
| #11718536 | 2 |
| #11718517 | 2 |
| #11718514 | 2 |
| C4×Dic52 | 2 |
| #11718340 | 2 |
| #3390 | 13 |