Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C4⋊C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ #9675 |
600 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
Polycyclic presentation:
2^8,67|a^2=f,b^2=df,c^2=eg,d^2=g,f^2=h,b^a=bd,c^a=ce,i^a=i^66,d^b=dg,f^b=fg2716 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 68529);