Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Dic31⋊C16 |
| Sylow | C31 ⋊ C4⋊C16 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bc,g^b=g^30520 conjugacy classes — view the full character table.
| maximal subgroup of | D31×C4⋊C16, C2×Dic31⋊C16, #16847465, … |
| maximal normal subgroup of | D31×C4⋊C16, C2×Dic31⋊C16, #16847465, … |
| maximal quotient of | #16843774, #16843780, #16843788, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 367);