Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| unambiguous semidirect product | D17⋊#1512 |
| Fitting | C17×#529 ⋊ C4 |
| Sylow | C17 ⋊ C2×#1512 |
1098 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=f,c^2=g,e^2=h,b^a=be,c^a=ch,e^a=eg,i^a=i^13,e^b=eh,f^b=fgh,i^d=i^16,i^f=i^16164 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1100573);