Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C79×#2295 ⋊ C2 |
| Sylow | C79 ⋊ #34629 |
1558 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
Polycyclic presentation:
2^8,79|a^2=gh,b^2=g,d^2=h,e^2=f,b^a=bf,c^a=cg,d^a=dh,c^b=ch,i^c=i^782248 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 336809);