Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C67 ⋊ #7274 |
262 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17152 |
Polycyclic presentation:
2^8,67|a^2=d,b^2=e,c^2=fh,e^2=fg,f^2=h,b^a=bc,c^a=cf,e^a=efgh,f^a=fh,c^b=cg,i^b=i^661510 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 56753);