Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C2×C4×D8×C17 ⋊ C2 |
| Sylow | C17 ⋊ #60570 |
2152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|d^2=f,g^2=h,b^a=bf,c^a=cg,g^a=gh,e^b=eh,i^b=i^16,g^c=gh512 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1038117);