Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C17×Q8⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ #17439 |
1206 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=g,e^2=g,f^2=h,b^a=be,e^a=eg,e^b=eg,d^c=dg,i^d=i^16536 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 135952);