Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C83×#2905 ⋊ C2 |
| Sylow | C83 ⋊ #11056 |
942 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2656 |
Polycyclic presentation:
2^8,83|a^2=g,b^2=d,e^2=h,g^2=h,b^a=bd,c^a=ce,e^a=eh,f^a=fh,c^b=cf,e^b=eh,e^c=eh,i^c=i^821856 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 76554);