Finite Group DatabasebetaFinite Group Databasebeta| order | 25664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C401 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12832 |
Polycyclic presentation:
2^6,401|a^2=d,d^2=e,e^2=f,g^a=g^45,c^b=cf,g^d=g^20,g^e=g^400290 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25664, 1670);