Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
244 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 67 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. C13×#533 | C2 | semidirect |
| 5. #11718125 | C2 | semidirect |
| 6. #11718123 | C2 | semidirect |
| 7. #11718115 | C2 | semidirect |
| 31. C2×D52 | Q8 | semidirect |
| 33. C2×Dic26 | Q8 | semidirect |
| 81. #533 | D13 | semidirect |
| 155. C13 | #2031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#533 | 2 |
| #11718667 | 2 |
| #11718666 | 2 |
| C2×#88045 | 2 |
| #11718125 | 2 |
| #11718123 | 2 |
| #11718115 | 2 |
| #2031 | 13 |