Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
510 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 510 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 |
|---|---|---|
| 1. C2×#88194 | C2 | semidirect |
| 2. C22×#6104 | C2 | semidirect |
| 3. C22×D104 | C2 | semidirect |
| 4. C2×C13×#102 | C2 | semidirect |
| 5. #11718649 | C2 | semidirect |
| 6. C2×#88049 | C2 | semidirect |
| 7. #11718142 | C2 | semidirect |
| 53. C2×D52 | D4 | semidirect |
| 56. C2×C8×C13 | D4 | semidirect |
| 65. C2×#1055 | D4 | semidirect |
| 99. C2×Dic13 | D8 | semidirect |
| 114. C2×#102 | D13 | semidirect |
| 204. C2×C8 | C22⋊D13 | semidirect |
| 210. C13 | #2011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88194 | 2 |
| C22×#6104 | 2 |
| C22×D104 | 2 |
| C2×C13×#102 | 2 |
| #11718649 | 2 |
| C2×#88049 | 2 |
| #11718142 | 2 |
| #2011 | 13 |