Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
No aliases for this group.
| Fitting | C2×C61×#568 ⋊ C2 |
| Sylow | C61 ⋊ #60089 |
4902 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|a^2=g,e^2=h,f^2=h,b^a=bf,e^a=eh,f^a=fh,i^a=i^60,f^b=fh,i^b=i^60,d^c=dh2122 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1033153);