Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
474 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 474 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 |
|---|---|---|
| 2. C22×#6105 | C2 | semidirect |
| 3. C22×#6095 | C2 | semidirect |
| 4. C2×C13×#102 | C2 | semidirect |
| 5. #11718635 | C2 | semidirect |
| 6. C2×#88049 | C2 | semidirect |
| 7. #11718142 | C2 | semidirect |
| 53. C2×Dic26 | D4 | semidirect |
| 56. C2×C8×C13 | D4 | semidirect |
| 64. C2×#1055 | D4 | semidirect |
| 96. C2×Dic13 | SD16 | semidirect |
| 111. C2×#102 | D13 | semidirect |
| 196. C2×C8 | C22⋊D13 | semidirect |
| 201. C13 | #2014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88194 | 2 |
| C22×#6105 | 2 |
| C22×#6095 | 2 |
| C2×C13×#102 | 2 |
| #11718635 | 2 |
| C2×#88049 | 2 |
| #11718142 | 2 |
| #2014 | 13 |