Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
284 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #11718901 | C2 | semidirect |
| 3. #11718897 | C2 | semidirect |
| 4. #11718767 | C2 | semidirect |
| 5. #11718762 | C2 | semidirect |
| 11. C2×C13×Q16 | C4 | semidirect |
| 12. C2×C13×SD16 | C4 | semidirect |
| 13. C2×C13×D8 | C4 | semidirect |
| 102. C2×Q16 | Dic13 | semidirect |
| 103. C2×SD16 | Dic13 | semidirect |
| 104. C2×D8 | Dic13 | semidirect |
| 150. C13 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#135 | 2 |
| #11718901 | 2 |
| #11718897 | 2 |
| #11718767 | 2 |
| #11718762 | 2 |
| #1976 | 13 |