Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C213 |
No aliases for this group.
| Fitting | C2×#533×C79 ⋊ C2 |
| Sylow | C79 ⋊ #62813 |
6930 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
Polycyclic presentation:
2^8,79|a^2=g,b^2=g,f^2=h,b^a=bg,c^a=ch,e^a=eh,d^c=dh,i^d=i^782272 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 1078123);