Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
162 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 11. C4×C8×C13 | C4 | semidirect |
| 12. #88055 | C4 | semidirect |
| 13. #88055 | C4 | semidirect |
| 14. C4×#1055 | C4 | semidirect |
| 69. C4×C8 | #261 | semidirect |
| 90. C13 | #1841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6094 | 2 |
| #11718269 | 2 |
| #11718267 | 2 |
| #11718266 | 2 |
| #11718234 | 2 |
| #1841 | 13 |