Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C83×#1571 ⋊ C2 |
| Sylow | C83 ⋊ #17994 |
748 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
Polycyclic presentation:
2^8,83|a^2=f,c^2=f,e^2=g,f^2=h,b^a=be,e^a=eg,e^b=eg,i^b=i^82,d^c=dh,i^c=i^821628 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 140453);