Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C31 ⋊ #324 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=ce,d^b=de,g^b=g^30322 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#324, C2×#14520774, #16844022, … |
| maximal normal subgroup of | D31×#324, C2×#14520774, #16844022, … |
| maximal quotient of | #16843533, #16843535, #16843553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 274);