Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C73×#3545 ⋊ C2 |
| Sylow | C73 ⋊ #33558 |
1158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
Polycyclic presentation:
2^8,73|b^2=h,b^a=be,c^a=cf,g^a=gh,i^a=i^72,d^b=dh,f^b=fgh,d^c=dh,e^c=eg,f^e=fh1402 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 323693);