Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C17×#117 ⋊ C8 |
| Sylow | C17 ⋊ #20543 |
1090 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=g,c^2=e,f^2=h,g^2=h,b^a=be,d^a=de,i^a=i^2,c^b=ce,i^b=i^9,i^f=i^4,i^g=i^13,i^h=i^16176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1118133);