Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C64 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ C22⋊C64 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=d,d^2=e,e^2=f,f^2=g,g^2=h,b^a=bc,i^a=i^9,i^b=i^16,i^d=i^13,i^e=i^16224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1116740);