Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C67×#1515 ⋊ C2 |
| Sylow | C67 ⋊ #17609 |
944 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
Polycyclic presentation:
2^8,67|a^2=f,b^2=g,c^2=g,e^2=h,b^a=be,e^a=eg,i^a=i^66,e^b=eh,f^b=fgh,d^c=dh,i^c=i^66,i^d=i^66910 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 137236);