Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
280 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×C13×#99 | C2 | semidirect |
| 3. C2×#88073 | C2 | semidirect |
| 4. #11718064 | C2 | semidirect |
| 5. #11718063 | C2 | semidirect |
| 7. C22×C22⋊D13 | C4 | semidirect |
| 10. C2×C22⋊Dic13 | C4 | semidirect |
| 13. #88191 | C4 | semidirect |
| 15. #88189 | C4 | semidirect |
| 25. C23×D13 | C2×C4 | semidirect |
| 41. C22×Dic13 | C2×C4 | semidirect |
| 47. C22⋊Dic13 | C2×C4 | semidirect |
| 48. C22⋊Dic13 | C2×C4 | semidirect |
| 94. C2×#99 | D13 | semidirect |
| 182. C13 | #2121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719509 | 2 |
| C2×C13×#99 | 2 |
| C2×#88073 | 2 |
| #11718064 | 2 |
| #11718063 | 2 |
| #2121 | 13 |