Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
228 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. C13×#427 | C2 | semidirect |
| 3. C22×#6090 | C2 | semidirect |
| 4. #11718084 | C2 | semidirect |
| 5. #11718083 | C2 | semidirect |
| 11. #88158 | C4 | semidirect |
| 58. #427 | D13 | semidirect |
| 107. C13 | #2138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88158 | 2 |
| C13×#427 | 2 |
| C22×#6090 | 2 |
| #11718084 | 2 |
| #11718083 | 2 |
| #2138 | 13 |