Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11719205 | C2 | semidirect |
| 4. #11718122 | C2 | semidirect |
| 5. #11718115 | C2 | semidirect |
| 21. C2×D4×C13 | Q8 | semidirect |
| 103. C2×D4 | Dic26 | semidirect |
| 119. C13 | #2027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719205 | 2 |
| C13×#390 | 2 |
| #11718876 | 2 |
| #11718122 | 2 |
| #11718115 | 2 |
| #2027 | 13 |