Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
228 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 6. C22×#1057 | C4 | semidirect |
| 12. C13×C22⋊C8 | C4 | semidirect |
| 13. C22⋊#1055 | C4 | semidirect |
| 25. C22⋊#261 | C8 | semidirect |
| 86. C22⋊C8 | #261 | semidirect |
| 112. C13 | #1282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊#261 | 2 |
| C2×#88111 | 2 |
| D13×C22⋊C8 | 2 |
| #1282 | 13 |