Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C17×#540 ⋊ C4 |
| Sylow | C17 ⋊ #34287 |
2494 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=h,b^2=fh,c^2=fh,d^2=f,e^2=g,b^a=bf,c^a=cg,e^a=ef,i^a=i^4,d^b=df,i^b=i^4,i^c=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, 1114398);