Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C73×#2875 ⋊ C2 |
| Sylow | C73 ⋊ #60651 |
3138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
Polycyclic presentation:
2^8,73|a^2=h,b^2=f,c^2=g,f^2=h,b^a=bf,c^a=cg,f^a=fh,i^a=i^72,c^b=ch,e^d=eh2506 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1039152);