Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C83 ⋊ #12579 |
736 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2656 |
Polycyclic presentation:
2^8,83|a^2=e,b^2=f,e^2=h,f^2=h,b^a=bd,d^a=dg,g^a=gh,i^a=i^82,c^b=ch,e^b=eg,e^d=eh1850 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 84532);