Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C4×C17×#131 ⋊ C2 |
| Sylow | C17 ⋊ #60147 |
2742 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=g,c^2=g,g^2=h,b^a=bf,c^a=ch,i^a=i^16,c^b=ch,i^b=i^16,e^d=eh728 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1033564);