Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
292 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 18. C2×Dic526 | C8 | semidirect |
| 32. C2×C8×C263 | Q8 | semidirect |
| 70. C263 | #1984 | semidirect |
| 99. C2×C8 | Dic526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic526 | 2 |
| C2×C4⋊(C263⋊C8) | 2 |
| #30681692 | 2 |
| C2×C4×C8×C263 | 2 |
| #1984 | 263 |