Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C83×#2032 ⋊ C2 |
| Sylow | C83 ⋊ #23996 |
1396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1328 |
Polycyclic presentation:
2^8,83|b^2=e,b^a=be,c^a=cf,d^a=de,g^a=gh,i^a=i^82,c^b=cg,g^b=gh,e^c=eh,f^d=fh,i^d=i^82983 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 202136);