Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
184 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 4. #11718258 | C2 | semidirect |
| 5. #11718257 | C2 | semidirect |
| 9. #88106 | C4 | semidirect |
| 10. C2×#6092 | C4 | semidirect |
| 78. C13 | #2108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88106 | 2 |
| C22×#6092 | 2 |
| #11718783 | 2 |
| #11718258 | 2 |
| #11718257 | 2 |
| #2108 | 13 |