Finite Group DatabasebetaFinite Group Databasebeta| order | 20704 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C647 ⋊ C2 |
| Sylow | C647 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10352 |
Polycyclic presentation:
2^5,647|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^646,c^b=ce,f^b=f^6465182 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20704, 68);