Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C61×#2982 ⋊ C2 |
| Sylow | C61 ⋊ #17353 |
1238 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|a^2=f,b^2=g,c^2=g,d^2=g,f^2=h,b^a=be,e^a=eg,f^b=fg,i^b=i^60,d^c=dg2122 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 135399);