Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
220 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 64 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. #11718280 | C2 | semidirect |
| 7. C2×C13×Q16 | C4 | semidirect |
| 11. Q16×D13 | C4 | semidirect |
| 13. C2×Dic52 | C4 | semidirect |
| 90. C2×Q16 | #261 | semidirect |
| 127. C13 | #2141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D13 | 2 |
| #11719092 | 2 |
| D13⋊M32 | 2 |
| #11718280 | 2 |
| #2141 | 13 |