Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | Q8×C16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #33502 |
570 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|a^2=f,d^2=e,f^2=g,g^2=h,b^a=be,d^a=de,c^b=ce,i^b=i^72,i^c=i^72,i^d=i^723016 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 323238);