Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C2×C61×#576 ⋊ C2 |
| Sylow | C61 ⋊ #60647 |
3386 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|b^2=fh,c^2=g,f^2=h,b^a=bf,c^a=cg,f^a=fh,i^c=i^60,e^d=eh1384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1039109);