Finite Group DatabasebetaFinite Group Databasebeta| order | 25664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×C401 ⋊ C8 |
| Sylow | C401 ⋊ #323 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3208 |
Polycyclic presentation:
2^6,401|a^2=d,d^2=f,b^a=bc,c^a=ce,g^a=g^45,d^b=de,g^d=g^20,g^f=g^400422 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25664, 1634);