Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| unambiguous semidirect product | D17⋊#2955 |
| Fitting | C17×#575 ⋊ C4 |
| Sylow | C17 ⋊ C2×#2955 |
2666 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=g,c^2=g,f^2=h,g^2=h,b^a=bf,d^a=dh,f^a=fh,i^a=i^4,f^b=fh,i^c=i^13,i^e=i^16,i^g=i^16176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1115033);