Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C31 ⋊ #458 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=f,b^a=bd,c^a=ce,g^a=g^30,e^b=ef,d^c=df271 conjugacy classes — view the full character table.
| maximal subgroup of | #16847699, #16847700, #16847705, … |
| maximal normal subgroup of | #16847699, #16847700, #16847705, … |
| maximal quotient of | #16844697, #16844702, #16844708, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 739);