Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
260 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 74 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. C13×C4⋊Q8 | C4 | semidirect |
| 13. #88144 | C4 | semidirect |
| 16. #88123 | C4 | semidirect |
| 30. #6118 | Q8 | semidirect |
| 83. C4⋊Q8 | #261 | semidirect |
| 124. C13 | #1986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719433 | 2 |
| C4×C4⋊#261 | 2 |
| C4×#6118 | 2 |
| #11718247 | 2 |
| #1986 | 13 |