Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C31 ⋊ C2 |
| Sylow | C31 ⋊ #407 |
190 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^30328 conjugacy classes — view the full character table.
| maximal subgroup of | #16843646, #16845630, #16845633, … |
| maximal normal subgroup of | #16843646, #16845630, #16845633, … |
| maximal quotient of | #16844037, #16844040, #16844043, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 512);