Finite Group DatabasebetaFinite Group Databasebeta| order | 33664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D263 |
| Fitting | #344×C263 ⋊ C2 |
| Sylow | C263 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4208 |
2926 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33664, 4250);