Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic31 |
| Sylow | C31 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16845502, #100×Dic31, #16845506, … |
| maximal normal subgroup of | #16845502, #100×Dic31, #16845506, … |
| maximal quotient of | M16×C31⋊C8, #16843992, #16843998, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 500);