Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C8 |
No aliases for this group.
| Sylow | C67 ⋊ #12516 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17152 |
Polycyclic presentation:
2^8,67|a^2=h,b^2=df,c^2=eg,d^2=fh,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=df,e^a=eg,f^a=fh,i^b=i^661324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 84282);