Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C83 ⋊ #23738 |
1098 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
Polycyclic presentation:
2^8,83|a^2=eh,b^2=ef,d^2=h,e^2=h,f^2=h,b^a=be,c^a=cf,i^a=i^82,c^b=cg,d^b=dh,e^b=eh,f^b=fh,i^b=i^82,e^c=eh,f^c=fh1856 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 199446);