Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
164 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 8. #88112 | C4 | semidirect |
| 11. C13×#97 | C4 | semidirect |
| 14. #88043 | C4 | semidirect |
| 70. #97 | #261 | semidirect |
| 90. C13 | #1285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#261 | 2 |
| #11719055 | 2 |
| #11718366 | 2 |
| #1285 | 13 |