Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C79×#3529 ⋊ C2 |
| Sylow | C79 ⋊ #33550 |
1144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2528 |
Polycyclic presentation:
2^8,79|d^2=h,b^a=be,c^a=cf,g^a=gh,i^a=i^78,c^b=ch,f^b=fgh,e^c=eg,f^e=fh1516 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 323619);