Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C2×C4×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #20375 |
1606 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=g,c^2=f,g^2=h,b^a=be,d^a=dh,i^a=i^16,c^b=ch,i^b=i^16728 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 167106);