Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
186 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 15. #88058 | C4 | semidirect |
| 16. #88058 | C4 | semidirect |
| 17. #88057 | C4 | semidirect |
| 18. #88057 | C4 | semidirect |
| 137. C13 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718783 | 2 |
| #11718780 | 2 |
| #11718767 | 2 |
| C13×#341 | 2 |
| #11718147 | 2 |
| #11718142 | 2 |
| #1922 | 13 |