Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×C61×#436 ⋊ C2 |
| Sylow | C61 ⋊ #61038 |
2790 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|e^2=h,f^2=h,b^a=bf,c^a=cg,f^a=fh,i^a=i^60,c^b=ch,d^b=df,f^b=fh,i^b=i^60,f^d=fh,i^d=i^601738 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1044754);