Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
284 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 3. #11718300 | C2 | direct (N × H) |
| 4. C22×Q8×C13 | C4 | semidirect |
| 8. #88201 | C4 | semidirect |
| 11. C2×C4×Dic13 | C4 | semidirect |
| 19. C2×Q8×C13 | C2×C4 | semidirect |
| 33. C4×Dic13 | C2×C4 | semidirect |
| 75. C22×Q8 | #261 | semidirect |
| 87. C2×C13 | #354 | semidirect |
| 95. C2×Q8 | C2×#261 | semidirect |
| 111. C13 | C2×#354 | semidirect |
| 153. C2 | #11718300 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88201 | 2 |
| C2×#88107 | 2 |
| #11718300 | 2 |
| C2×#354 | 13 |