Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C2×#376×C79 ⋊ C2 |
| Sylow | C79 ⋊ #33999 |
3598 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
Polycyclic presentation:
2^8,79|a^2=g,b^2=h,c^2=g,e^2=f,b^a=bf,d^a=df,c^b=cf,i^d=i^783256 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 327794);