Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
No aliases for this group.
| Fitting | C2×#568×C67 ⋊ C2 |
| Sylow | C67 ⋊ #60076 |
4812 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
Polycyclic presentation:
2^8,67|a^2=g,e^2=h,g^2=h,b^a=bf,f^a=fh,g^b=gh,i^b=i^66,d^c=dh2326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 1033072);