Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C17 ⋊ #12622 |
636 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=eh,b^a=bd,c^a=ch,f^a=fg,d^b=dg,g^b=gh,i^b=i^16,f^d=fh398 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 84715);