Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
160 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 160 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 |
|---|---|---|
| 4. #11718218 | C2 | semidirect |
| 5. #11718217 | C2 | semidirect |
| 9. C2×#6092 | C4 | semidirect |
| 12. #88098 | C4 | semidirect |
| 15. C13×M32 | C4 | semidirect |
| 16. #88052 | C4 | semidirect |
| 18. C16×D13 | C4 | semidirect |
| 72. M32 | #261 | semidirect |
| 98. C13 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719089 | 2 |
| C2×#88098 | 2 |
| D13×M32 | 2 |
| #11718218 | 2 |
| #11718217 | 2 |
| #2110 | 13 |