Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C31 ⋊ #543 |
242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=f,c^2=f,b^a=be,c^a=cf,d^a=de,c^b=ce,g^c=g^30322 conjugacy classes — view the full character table.
| maximal subgroup of | #16844633, #16844636, #16844667, … |
| maximal normal subgroup of | #16844633, #16844636, #16844667, … |
| maximal quotient of | #16848323, #16848325, #16848439, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1175);