Finite Group DatabasebetaFinite Group Databasebeta| order | 33344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#22552365 |
| Fitting | C4×Q8×C521 ⋊ C2 |
| Sylow | C521 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16672 |
5240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33344, 1019);