Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C31×#127 ⋊ C2 |
| Sylow | C31 ⋊ #453 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 248 |
Polycyclic presentation:
2^6,31|d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^30,d^c=df226 conjugacy classes — view the full character table.
| maximal subgroup of | #16843855, #16843857, #16847695, … |
| maximal normal subgroup of | #16843855, #16843857, #16847695, … |
| maximal quotient of | #16844628, #16844633, #16844655, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 716);