Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C4×H(5,𝔽2)×C67 ⋊ C2 |
| Sylow | C67 ⋊ #60176 |
2818 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
Polycyclic presentation:
2^8,67|a^2=g,c^2=gh,f^2=h,b^a=bf,c^a=ch,f^a=fh,f^b=fh,i^b=i^66,e^d=eh2326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 1033848);