Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11758405 |
| Sylow | C31 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16843810, #16843811, #16843816, … |
| maximal normal subgroup of | #16843810, #16843811, #16843816, … |
| maximal quotient of | C2×#14520800, #16844467, #16844482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 580);