Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C31 ⋊ #491 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=f,b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,c^b=cf,g^b=g^30,g^c=g^30226 conjugacy classes — view the full character table.
| maximal subgroup of | #16843883, #16845033, #16845038, … |
| maximal normal subgroup of | #16843883, #16845033, #16845038, … |
| maximal quotient of | #16845846, #16846404, #16846532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 917);