Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C2×#380×C83 ⋊ C2 |
| Sylow | C83 ⋊ #10969 |
1922 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
Polycyclic presentation:
2^8,83|a^2=g,d^2=h,b^a=bd,c^a=ce,d^a=dh,c^b=cf,d^b=dh,i^b=i^822360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 76074);