Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C8×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #9717 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=df,c^2=e,d^2=gh,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^16,d^b=dh,f^b=fh698 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 68717);