Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic31 |
| Sylow | C31 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
238 conjugacy classes — view the full character table.
| maximal subgroup of | #16847560, SD32×Dic31, #16847567, … |
| maximal normal subgroup of | #16847560, SD32×Dic31, #16847567, … |
| maximal quotient of | Q16×C31⋊C8, #16844562, #16844608, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 644);