Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×H(3,ℤ/4)×C67 ⋊ C2 |
| Sylow | C67 ⋊ #11148 |
894 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
Polycyclic presentation:
2^8,67|a^2=g,c^2=d,e^2=h,b^a=bd,c^a=ce,d^a=dh,c^b=cf,g^b=gh,i^b=i^66,g^c=gh1504 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 77139);