Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C22×C42 |
No aliases for this group.
| Fitting | C17×#1434 ⋊ C2 |
| Sylow | C17 ⋊ #13947 |
1486 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=h,b^2=f,d^2=eg,b^a=be,c^a=cf,d^a=de,c^b=cg,i^b=i^16,i^c=i^16524 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 92178);