Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#431×C73 ⋊ C2 |
| Sylow | C73 ⋊ #17437 |
1314 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
Polycyclic presentation:
2^8,73|a^2=f,d^2=g,e^2=g,f^2=h,b^a=be,c^a=cg,e^a=eg,i^a=i^72,e^b=eg,i^b=i^722968 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 135944);