Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C31 ⋊ #349 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^30,d^b=df322 conjugacy classes — view the full character table.
| maximal subgroup of | #16843646, #16843647, #16843648, … |
| maximal normal subgroup of | #16843646, #16843647, #16843648, … |
| maximal quotient of | #16843635, #16843651, #16843669, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 331);