Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C83×#2120 ⋊ C2 |
| Sylow | C83 ⋊ #33554 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2656 |
Polycyclic presentation:
2^8,83|b^2=h,d^2=h,b^a=be,c^a=cf,g^a=gh,i^a=i^82,d^b=dh,f^b=fgh,i^b=i^82,e^c=eg,f^e=fh1100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 323660);