Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C17×#2283 ⋊ C2 |
| Sylow | C17 ⋊ #34179 |
2390 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=h,b^2=g,c^2=f,d^2=f,b^a=bf,c^a=cg,e^a=ef,d^b=df,i^d=i^16536 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 329631);