Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C17×#1973 ⋊ C2 |
| Sylow | C17 ⋊ C4×#468 |
1086 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=g,b^2=e,d^2=g,e^2=h,b^a=be,c^a=cf,e^a=eh,i^a=i^16,c^b=ch,i^c=i^16,i^d=i^16320 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 176200);