Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
140 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 45 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. C2×Dic104 | C2 | semidirect |
| 4. C13×#368 | C2 | semidirect |
| 5. #11718088 | C2 | semidirect |
| 47. #368 | D13 | semidirect |
| 83. C13 | #2222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic104 | 2 |
| #11718562 | 2 |
| #11718557 | 2 |
| C13×#368 | 2 |
| #11718088 | 2 |
| #2222 | 13 |