Finite Group DatabasebetaFinite Group DatabasebetaOrder 33664.
266 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 63 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. #30681961 | C2 | semidirect |
| 3. C2×#22554396 | C2 | semidirect |
| 4. #30681920 | C2 | semidirect |
| 5. #338×C263 | C2 | semidirect |
| 78. C263 | #2050 | semidirect |
| 84. #338 | D263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30682738 | 2 |
| #30681961 | 2 |
| C2×#22554396 | 2 |
| #30681920 | 2 |
| #338×C263 | 2 |
| #2050 | 263 |