Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C2×C4×C4⋊C4×C61 ⋊ C2 |
| Sylow | C61 ⋊ #35006 |
2322 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
Polycyclic presentation:
2^8,61|b^2=f,c^2=fg,d^2=f,b^a=bf,c^a=cg,e^a=eh,i^a=i^60,c^b=ch,d^b=dh2464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 342508);