Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C31 ⋊ #441 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=e,b^2=f,c^2=e,d^2=f,b^a=bd,c^a=cf,d^a=df,d^b=df,g^b=g^30322 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#441, C2×#14521154, #16854506, … |
| maximal normal subgroup of | D31×#441, C2×#14521154, #16854506, … |
| maximal quotient of | #16844528, #16844580, #16844582, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 654);