Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C263 ⋊ #501 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
Polycyclic presentation:
2^6,263|a^2=d,b^2=d,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,c^b=cf,g^b=g^262,g^c=g^2621850 conjugacy classes. The character table is too large to display.
| maximal quotient of | #46782914, #46783484, #46783486, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 957);