Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C67×#3535 ⋊ C2 |
| Sylow | C67 ⋊ #18226 |
1306 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
Polycyclic presentation:
2^8,67|b^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,i^a=i^66,e^b=eg,f^b=fh,d^c=dg,e^c=eh1291 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 142752);