Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C31 ⋊ #444 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^30,d^b=df,g^c=g^30232 conjugacy classes — view the full character table.
| maximal subgroup of | #16847599, #16847603, #16847606, … |
| maximal normal subgroup of | #16847599, #16847603, #16847606, … |
| maximal quotient of | SD16⋊(C31⋊C8), #16844530, #16844535, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 671);