Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C83×#3150 ⋊ C2 |
| Sylow | C83 ⋊ #61030 |
2796 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
Polycyclic presentation:
2^8,83|e^2=h,f^2=h,b^a=bf,c^a=cg,f^a=fh,d^b=df,f^b=fh,i^b=i^82,i^c=i^82,f^d=fh,i^d=i^821370 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 1044648);