Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C67 ⋊ #22521 |
1010 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17152 |
Polycyclic presentation:
2^8,67|a^2=g,b^2=eh,c^2=h,d^2=e,f^2=h,b^a=be,c^a=cf,f^a=fh,d^b=de,i^b=i^66,f^c=fh,i^c=i^661324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 186181);