Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
260 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 72 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. #11719092 | C2 | semidirect |
| 4. #11718267 | C2 | semidirect |
| 7. C22×C8×C13 | C4 | semidirect |
| 8. C2×#6099 | C4 | semidirect |
| 11. C2×#6094 | C4 | semidirect |
| 13. C2×C8×D13 | C4 | semidirect |
| 93. C22×C8 | #261 | semidirect |
| 129. C13 | #1812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88155 | 2 |
| #11719116 | 2 |
| #11719092 | 2 |
| #11718267 | 2 |
| #1812 | 13 |