Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C61 ⋊ #8318 |
1058 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
Polycyclic presentation:
2^8,61|a^2=f,d^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^11,d^b=dg,e^b=eg,d^c=dg,i^c=i^60,i^f=i^60574 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1087735);