Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C32 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C64×C73 ⋊ C4 |
| Sylow | C73 ⋊ #7510 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
Polycyclic presentation:
2^8,73|a^2=c,b^2=d,c^2=e,e^2=f,f^2=g,g^2=h,b^a=bh,i^b=i^27,i^d=i^721312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1084787);