Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C2×#543×C83 ⋊ C2 |
| Sylow | C83 ⋊ #34993 |
2866 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
Polycyclic presentation:
2^8,83|b^2=g,c^2=f,b^a=bf,c^a=cg,e^a=eh,i^a=i^82,c^b=ch,d^b=dh,i^b=i^82,i^c=i^821868 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 342302);