Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C31⋊#338 |
| Sylow | C31 ⋊ #338 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,e^a=ef,d^b=df,g^b=g^30322 conjugacy classes — view the full character table.
| maximal subgroup of | #16843702, #16843703, #16843705, … |
| maximal normal subgroup of | #16843702, #16843703, #16843705, … |
| maximal quotient of | #16843541, #16843542, #16843582, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 307);