Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C4×C17×C22⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ #20556 |
1098 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=g,c^2=f,f^2=h,b^a=be,c^a=ch,d^a=de,c^b=ce,i^c=i^16728 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 168459);