Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C73×#2276 ⋊ C2 |
| Sylow | C73 ⋊ C4×#520 |
3698 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|a^2=g,b^2=h,c^2=f,e^2=g,b^a=bf,d^a=df,c^b=cf,i^c=i^72,i^d=i^72,i^e=i^722584 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 327810);