Finite Group DatabasebetaFinite Group Databasebeta| order | 25664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C401 ⋊ #331 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12832 |
Polycyclic presentation:
2^6,401|a^2=d,c^2=f,d^2=ef,b^a=bc,c^a=ce,g^a=g^20,c^b=cf,d^b=def,g^d=g^4001019 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25664, 1407);