Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
338 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 11. C2×#16862366 | C4 | semidirect |
| 88. C2×C4×C263 | Q16 | semidirect |
| 119. C263 | #1878 | semidirect |
| 206. C2×C4 | #16862366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#16862366 | 2 |
| C2×#22554394 | 2 |
| C2×#22554393 | 2 |
| #30681844 | 2 |
| #30681700 | 2 |
| #30681693 | 2 |
| C2×C4×Q8×C263 | 2 |
| #1878 | 263 |