Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
284 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 9. C13×C4⋊Q8 | C4 | semidirect |
| 14. #88144 | C4 | semidirect |
| 17. #88123 | C4 | semidirect |
| 30. C4×#261 | Q8 | semidirect |
| 84. C4⋊Q8 | #261 | semidirect |
| 125. C13 | #1994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719433 | 2 |
| C42×#261 | 2 |
| #11719052 | 2 |
| #11718247 | 2 |
| #1994 | 13 |