Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43 |
No aliases for this group.
| Fitting | C79×#1726 ⋊ C2 |
| Sylow | C79 ⋊ C4×#405 |
1526 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
Polycyclic presentation:
2^8,79|a^2=e,b^2=f,c^2=g,e^2=h,d^b=dh,i^c=i^78,i^d=i^783280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 166906);