Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 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. #30681956 | C2 | semidirect |
| 3. #30681911 | C2 | semidirect |
| 4. #30681893 | C2 | semidirect |
| 5. #427×C263 | C2 | semidirect |
| 11. C2×Dic1052 | C4 | semidirect |
| 12. C2×#16862365 | C4 | semidirect |
| 13. C2×D2104 | C4 | semidirect |
| 96. C263 | #1976 | semidirect |
| 99. #427 | D263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22554492 | 2 |
| #30681956 | 2 |
| #30681911 | 2 |
| #30681893 | 2 |
| #427×C263 | 2 |
| #1976 | 263 |