Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C42×D4×C17 ⋊ C2 |
| Sylow | C17 ⋊ #34861 |
2062 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|c^2=h,d^2=g,e^2=f,b^a=bf,c^a=cg,i^a=i^16,c^b=ch,d^b=dh716 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 340257);