Finite Group DatabasebetaFinite Group Databasebeta| order | 20512 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C641 ⋊ C4 |
| Sylow | C641 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5128 |
Polycyclic presentation:
2^5,641|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^487,f^d=f^6401300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20512, 200);