Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C61×M64 ⋊ C2 |
| Sylow | C61 ⋊ #13558 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|a^2=e,d^2=h,e^2=f,f^2=g,g^2=h,b^a=bd,c^a=ch,i^a=i^60,d^b=dh,e^b=eh,i^b=i^602488 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 89780);