Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Fitting | C17×#382 ⋊ C4 |
| Sylow | C17 ⋊ #7984 |
650 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=g,d^2=gh,f^2=gh,b^a=bd,d^a=dg,f^a=fgh,i^a=i^4,c^b=cg,e^b=eh,i^b=i^13,i^c=i^16,i^e=i^16,i^f=i^16164 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1086220);