Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C17×#1757 ⋊ C2 |
| Sylow | C17 ⋊ #12633 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=e,d^2=h,e^2=h,b^a=bd,d^a=dh,f^a=fgh,i^a=i^16,d^b=dg,g^b=gh,f^d=fh404 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 84763);