Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C16 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Sylow | C83 ⋊ #7052 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21248 |
Polycyclic presentation:
2^8,83|a^2=c,b^2=d,c^2=e,d^2=f,e^2=g,f^2=h,b^a=bg,i^b=i^825408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 56182);