Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C64×C79 ⋊ C2 |
| Sylow | C79 ⋊ #13737 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
Polycyclic presentation:
2^8,79|a^2=d,d^2=e,e^2=f,f^2=g,g^2=h,c^b=ch,i^c=i^785152 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 90606);