Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Fitting | C61×#346 ⋊ C4 |
| Sylow | C61 ⋊ #12539 |
478 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|a^2=d,b^2=e,c^2=f,d^2=g,g^2=h,i^a=i^50,c^b=ch,i^b=i^11,i^d=i^60,i^e=i^60760 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1095669);