Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D31 |
| Fitting | C31×#97 ⋊ C2 |
| Sylow | C31 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D31×#329, D31×#330, #16844296, … |
| maximal normal subgroup of | D31×#329, D31×#330, #16844296, … |
| maximal quotient of | D31×#322, #16843997, #16843999, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 496);