Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C31×#106 ⋊ C2 |
| Sylow | C31 ⋊ #470 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^30,c^b=cf,g^c=g^30226 conjugacy classes — view the full character table.
| maximal subgroup of | #16847663, #16847932, D31×#470, … |
| maximal normal subgroup of | #16847663, #16847932, D31×#470, … |
| maximal quotient of | #16845201, #16845206, #16845235, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 808);