Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C67 ⋊ Q8×#97 |
954 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17152 |
Polycyclic presentation:
2^8,67|a^2=f,b^2=g,c^2=eg,d^2=ef,f^2=h,b^a=be,c^a=ch,d^b=dh,d^c=dh,i^c=i^661948 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 168234);