Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | Q8×C16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #33474 |
506 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|a^2=f,b^2=e,c^2=ef,f^2=g,g^2=h,b^a=be,d^a=dh,i^d=i^722992 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 323057);