Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C31 ⋊ #498 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=d,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^30232 conjugacy classes — view the full character table.
| maximal subgroup of | #16847880, #16847881, D31×#498, … |
| maximal normal subgroup of | #16847880, #16847881, D31×#498, … |
| maximal quotient of | #16845866, #16846437, #16846438, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 946);