Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
262 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #30681986 | C2 | semidirect |
| 2. #30681961 | C2 | semidirect |
| 5. #30681709 | C2 | semidirect |
| 6. #30681699 | C2 | semidirect |
| 15. #22554397 | C4 | semidirect |
| 16. #22554397 | C4 | semidirect |
| 97. C263 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30681986 | 2 |
| #30681961 | 2 |
| #30681955 | 2 |
| C2×#22554397 | 2 |
| #30681709 | 2 |
| #30681699 | 2 |
| #568×C263 | 2 |
| #1861 | 263 |