Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
338 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#88064 | C2 | semidirect |
| 5. #11718146 | C2 | semidirect |
| 94. C22×C13 | #101 | semidirect |
| 156. C13 | #1901 | semidirect |
| 193. C22 | #88064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88178 | 2 |
| C22×#6099 | 2 |
| C13×#407 | 2 |
| C2×#88064 | 2 |
| #11718146 | 2 |
| #1901 | 13 |