Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C83 ⋊ #7154 |
242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21248 |
Polycyclic presentation:
2^8,83|a^2=d,b^2=e,c^2=fh,d^2=g,e^2=f,f^2=h,b^a=bc,c^a=cf,e^a=efh,f^a=fh,i^b=i^822384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 56437);