Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D31 |
| Fitting | C31×#101 ⋊ C2 |
| Sylow | C31 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
187 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#355, D31×#356, #16847397, … |
| maximal normal subgroup of | D31×#355, D31×#356, #16847397, … |
| maximal quotient of | D31×#324, #16844033, #16844039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 527);