Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
364 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 185 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 |
|---|---|---|
| 8. #11718491 | C2 | semidirect |
| 9. #11718489 | C2 | semidirect |
| 50. C2×#1055 | Q8 | semidirect |
| 137. C13 | #2960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719222 | 2 |
| C13×#424 | 2 |
| #11718783 | 2 |
| #11718779 | 2 |
| #11718763 | 2 |
| C2×C8×Dic13 | 2 |
| #11718658 | 2 |
| #11718491 | 2 |
| #11718489 | 2 |
| #2960 | 13 |