Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D31 |
| Fitting | C2×Q16×C31 ⋊ C2 |
| Sylow | C31 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
238 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#358, #16847429, D31×#362, … |
| maximal normal subgroup of | D31×#358, #16847429, D31×#362, … |
| maximal quotient of | C2×#103×D31, C2×#107×D31, C4×Q16×D31, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1324);