Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C67×#3055 ⋊ C2 |
| Sylow | C67 ⋊ #60444 |
2918 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
Polycyclic presentation:
2^8,67|b^2=f,e^2=h,f^2=h,b^a=bf,c^a=cg,f^a=fh,d^b=dh,i^e=i^661120 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 1036730);