Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
208 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 208 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 |
|---|---|---|
| 9. #22554404 | C4 | semidirect |
| 10. #22554402 | C4 | semidirect |
| 61. C263 | #1945 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22554406 | 2 |
| #30681976 | 2 |
| #30681964 | 2 |
| #30681698 | 2 |
| C2×C4×C8×C263 | 2 |
| #1945 | 263 |