Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C31×SD32 ⋊ C2 |
| Sylow | C31 ⋊ #509 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^30,d^b=de,e^b=ef,g^c=g^30181 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#509, C2×#14521486, #16858844, … |
| maximal normal subgroup of | D31×#509, C2×#14521486, #16858844, … |
| maximal quotient of | #16847422, #16847425, #16847498, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 986);