Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C31 ⋊ #501 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|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^30,g^c=g^30226 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#501, C2×#14521457, #16856232, … |
| maximal normal subgroup of | D31×#501, C2×#14521457, #16856232, … |
| maximal quotient of | #16845878, #16846448, #16846450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 957);