Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×C13×C22⋊C8 | C2 | semidirect |
| 3. C2×C22⋊#1055 | C2 | semidirect |
| 4. #11718060 | C2 | direct (N × H) |
| 17. C13×C22⋊C8 | C22 | semidirect |
| 19. C22⋊#1055 | C22 | semidirect |
| 26. C23×D13 | C8 | semidirect |
| 67. C22×D13 | C2×C8 | semidirect |
| 86. C2×C22⋊C8 | D13 | semidirect |
| 127. C22⋊C8 | C2×D13 | semidirect |
| 131. C2×C13 | #323 | semidirect |
| 163. C13 | C2×#323 | semidirect |
| 229. C2 | #11718060 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6103 | 2 |
| C2×C13×C22⋊C8 | 2 |
| C2×C22⋊#1055 | 2 |
| #11718060 | 2 |
| C2×#323 | 13 |