Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D31 |
| Fitting | C31×#108 ⋊ C2 |
| Sylow | C31 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
238 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#359, #16847437, D31×#361, … |
| maximal normal subgroup of | D31×#359, #16847437, D31×#361, … |
| maximal quotient of | D31×#334, D31×#335, #16844456, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 593);